27.918.950.400 und 59.327.769.600: Berechnen Sie den gemeinsamen Teiler der beiden Zahlen (und die Primfaktoren)

Die gemeinsamen Teiler der Zahlen 27.918.950.400 und 59.327.769.600

Die gemeinsamen Teiler der Zahlen 27.918.950.400 und 59.327.769.600 sind alle Teiler ihres 'größten gemeinsamen Teilers', ggT.

Berechnen Sie den größten gemeinsamen Teiler.
Befolgen Sie die beiden folgenden Schritte.

1. Führen Sie die Primfaktorzerlegung der beiden Zahlen durch:

Die Primfaktorzerlegung einer Zahl N = die Teilung der Zahl N in kleinere Zahlen, die Primzahlen sind. Die Zahl N ergibt sich aus der Multiplikation dieser Primzahlen.


27.918.950.400 = 213 × 36 × 52 × 11 × 17
27.918.950.400 ist keine Primzahl, sondern eine zusammengesetzte Zahl.


59.327.769.600 = 210 × 36 × 52 × 11 × 172
59.327.769.600 ist keine Primzahl, sondern eine zusammengesetzte Zahl.



* Die natürlichen Zahlen, die nur durch sich selbst und 1 teilbar sind, heißen Primzahlen. Eine Primzahl hat genau zwei Teiler: 1 und sich selbst.
* Eine zusammengesetzte Zahl ist eine natürliche Zahl, die mindestens einen anderen Teiler als 1 und sich selbst hat.



2. Berechnen Sie den größten gemeinsamen Teiler, ggT:

Multiplizieren Sie alle gemeinsamen Primfaktoren mit ihren kleineren Exponenten.


ggT (27.918.950.400; 59.327.769.600) = 210 × 36 × 52 × 11 × 17 = 3.489.868.800




Multiplizieren Sie die Primfaktoren des 'ggT':

Alle Primfaktoren des ggT sind natürlich Teiler des ggT. Multiplizieren Sie auch die Primfaktoren in allen möglichen Kombinationen, die zu unterschiedlichen Ergebnissen führen.


Berücksichtigen Sie auch die Exponenten der Primfaktoren (z. B. 32 = 3 × 3).


Fügen Sie auch 1 zur Liste der Teiler hinzu. Alle Zahlen sind durch 1 teilbar.


Alle Teiler sind unten aufgelistet - in aufsteigender Reihenfolge

Die Liste der Teiler:

weder Primzahl noch zusammengesetzte = 1
Primfaktor = 2
Primfaktor = 3
22 = 4
Primfaktor = 5
2 × 3 = 6
23 = 8
32 = 9
2 × 5 = 10
Primfaktor = 11
22 × 3 = 12
3 × 5 = 15
24 = 16
Primfaktor = 17
2 × 32 = 18
22 × 5 = 20
2 × 11 = 22
23 × 3 = 24
52 = 25
33 = 27
2 × 3 × 5 = 30
25 = 32
3 × 11 = 33
2 × 17 = 34
22 × 32 = 36
23 × 5 = 40
22 × 11 = 44
32 × 5 = 45
24 × 3 = 48
2 × 52 = 50
3 × 17 = 51
2 × 33 = 54
5 × 11 = 55
22 × 3 × 5 = 60
26 = 64
2 × 3 × 11 = 66
22 × 17 = 68
23 × 32 = 72
3 × 52 = 75
24 × 5 = 80
34 = 81
5 × 17 = 85
23 × 11 = 88
2 × 32 × 5 = 90
25 × 3 = 96
32 × 11 = 99
22 × 52 = 100
2 × 3 × 17 = 102
22 × 33 = 108
2 × 5 × 11 = 110
23 × 3 × 5 = 120
27 = 128
22 × 3 × 11 = 132
33 × 5 = 135
23 × 17 = 136
24 × 32 = 144
2 × 3 × 52 = 150
32 × 17 = 153
25 × 5 = 160
2 × 34 = 162
3 × 5 × 11 = 165
2 × 5 × 17 = 170
24 × 11 = 176
22 × 32 × 5 = 180
11 × 17 = 187
26 × 3 = 192
2 × 32 × 11 = 198
23 × 52 = 200
22 × 3 × 17 = 204
23 × 33 = 216
22 × 5 × 11 = 220
32 × 52 = 225
24 × 3 × 5 = 240
35 = 243
3 × 5 × 17 = 255
28 = 256
23 × 3 × 11 = 264
2 × 33 × 5 = 270
24 × 17 = 272
52 × 11 = 275
25 × 32 = 288
33 × 11 = 297
22 × 3 × 52 = 300
2 × 32 × 17 = 306
26 × 5 = 320
22 × 34 = 324
2 × 3 × 5 × 11 = 330
22 × 5 × 17 = 340
25 × 11 = 352
23 × 32 × 5 = 360
2 × 11 × 17 = 374
27 × 3 = 384
22 × 32 × 11 = 396
24 × 52 = 400
34 × 5 = 405
23 × 3 × 17 = 408
52 × 17 = 425
24 × 33 = 432
23 × 5 × 11 = 440
2 × 32 × 52 = 450
33 × 17 = 459
25 × 3 × 5 = 480
2 × 35 = 486
32 × 5 × 11 = 495
2 × 3 × 5 × 17 = 510
29 = 512
24 × 3 × 11 = 528
22 × 33 × 5 = 540
25 × 17 = 544
2 × 52 × 11 = 550
3 × 11 × 17 = 561
26 × 32 = 576
2 × 33 × 11 = 594
23 × 3 × 52 = 600
22 × 32 × 17 = 612
27 × 5 = 640
23 × 34 = 648
22 × 3 × 5 × 11 = 660
33 × 52 = 675
23 × 5 × 17 = 680
26 × 11 = 704
24 × 32 × 5 = 720
36 = 729
22 × 11 × 17 = 748
32 × 5 × 17 = 765
28 × 3 = 768
23 × 32 × 11 = 792
25 × 52 = 800
2 × 34 × 5 = 810
24 × 3 × 17 = 816
3 × 52 × 11 = 825
2 × 52 × 17 = 850
25 × 33 = 864
24 × 5 × 11 = 880
34 × 11 = 891
22 × 32 × 52 = 900
2 × 33 × 17 = 918
5 × 11 × 17 = 935
26 × 3 × 5 = 960
22 × 35 = 972
2 × 32 × 5 × 11 = 990
22 × 3 × 5 × 17 = 1.020
210 = 1.024
25 × 3 × 11 = 1.056
23 × 33 × 5 = 1.080
26 × 17 = 1.088
22 × 52 × 11 = 1.100
2 × 3 × 11 × 17 = 1.122
27 × 32 = 1.152
22 × 33 × 11 = 1.188
24 × 3 × 52 = 1.200
35 × 5 = 1.215
23 × 32 × 17 = 1.224
3 × 52 × 17 = 1.275
28 × 5 = 1.280
24 × 34 = 1.296
23 × 3 × 5 × 11 = 1.320
2 × 33 × 52 = 1.350
24 × 5 × 17 = 1.360
34 × 17 = 1.377
27 × 11 = 1.408
25 × 32 × 5 = 1.440
2 × 36 = 1.458
33 × 5 × 11 = 1.485
23 × 11 × 17 = 1.496
2 × 32 × 5 × 17 = 1.530
29 × 3 = 1.536
24 × 32 × 11 = 1.584
26 × 52 = 1.600
22 × 34 × 5 = 1.620
25 × 3 × 17 = 1.632
2 × 3 × 52 × 11 = 1.650
32 × 11 × 17 = 1.683
22 × 52 × 17 = 1.700
26 × 33 = 1.728
25 × 5 × 11 = 1.760
2 × 34 × 11 = 1.782
23 × 32 × 52 = 1.800
22 × 33 × 17 = 1.836
2 × 5 × 11 × 17 = 1.870
27 × 3 × 5 = 1.920
23 × 35 = 1.944
22 × 32 × 5 × 11 = 1.980
34 × 52 = 2.025
23 × 3 × 5 × 17 = 2.040
26 × 3 × 11 = 2.112
24 × 33 × 5 = 2.160
27 × 17 = 2.176
23 × 52 × 11 = 2.200
22 × 3 × 11 × 17 = 2.244
33 × 5 × 17 = 2.295
28 × 32 = 2.304
23 × 33 × 11 = 2.376
25 × 3 × 52 = 2.400
2 × 35 × 5 = 2.430
24 × 32 × 17 = 2.448
32 × 52 × 11 = 2.475
2 × 3 × 52 × 17 = 2.550
29 × 5 = 2.560
25 × 34 = 2.592
24 × 3 × 5 × 11 = 2.640
35 × 11 = 2.673
22 × 33 × 52 = 2.700
25 × 5 × 17 = 2.720
2 × 34 × 17 = 2.754
3 × 5 × 11 × 17 = 2.805
28 × 11 = 2.816
26 × 32 × 5 = 2.880
22 × 36 = 2.916
2 × 33 × 5 × 11 = 2.970
24 × 11 × 17 = 2.992
22 × 32 × 5 × 17 = 3.060
210 × 3 = 3.072
25 × 32 × 11 = 3.168
27 × 52 = 3.200
23 × 34 × 5 = 3.240
26 × 3 × 17 = 3.264
22 × 3 × 52 × 11 = 3.300
2 × 32 × 11 × 17 = 3.366
23 × 52 × 17 = 3.400
27 × 33 = 3.456
26 × 5 × 11 = 3.520
22 × 34 × 11 = 3.564
24 × 32 × 52 = 3.600
36 × 5 = 3.645
23 × 33 × 17 = 3.672
22 × 5 × 11 × 17 = 3.740
32 × 52 × 17 = 3.825
28 × 3 × 5 = 3.840
24 × 35 = 3.888
23 × 32 × 5 × 11 = 3.960
2 × 34 × 52 = 4.050
24 × 3 × 5 × 17 = 4.080
35 × 17 = 4.131
27 × 3 × 11 = 4.224
25 × 33 × 5 = 4.320
28 × 17 = 4.352
24 × 52 × 11 = 4.400
34 × 5 × 11 = 4.455
23 × 3 × 11 × 17 = 4.488
2 × 33 × 5 × 17 = 4.590
29 × 32 = 4.608
52 × 11 × 17 = 4.675
24 × 33 × 11 = 4.752
26 × 3 × 52 = 4.800
22 × 35 × 5 = 4.860
25 × 32 × 17 = 4.896
2 × 32 × 52 × 11 = 4.950
33 × 11 × 17 = 5.049
22 × 3 × 52 × 17 = 5.100
210 × 5 = 5.120
26 × 34 = 5.184
25 × 3 × 5 × 11 = 5.280
2 × 35 × 11 = 5.346
23 × 33 × 52 = 5.400
26 × 5 × 17 = 5.440
22 × 34 × 17 = 5.508
2 × 3 × 5 × 11 × 17 = 5.610
29 × 11 = 5.632
27 × 32 × 5 = 5.760
23 × 36 = 5.832
22 × 33 × 5 × 11 = 5.940
25 × 11 × 17 = 5.984
35 × 52 = 6.075
23 × 32 × 5 × 17 = 6.120
26 × 32 × 11 = 6.336
28 × 52 = 6.400
24 × 34 × 5 = 6.480
27 × 3 × 17 = 6.528
23 × 3 × 52 × 11 = 6.600
22 × 32 × 11 × 17 = 6.732
24 × 52 × 17 = 6.800
34 × 5 × 17 = 6.885
28 × 33 = 6.912
27 × 5 × 11 = 7.040
23 × 34 × 11 = 7.128
25 × 32 × 52 = 7.200
2 × 36 × 5 = 7.290
24 × 33 × 17 = 7.344
33 × 52 × 11 = 7.425
23 × 5 × 11 × 17 = 7.480
2 × 32 × 52 × 17 = 7.650
29 × 3 × 5 = 7.680
25 × 35 = 7.776
24 × 32 × 5 × 11 = 7.920
36 × 11 = 8.019
22 × 34 × 52 = 8.100
25 × 3 × 5 × 17 = 8.160
2 × 35 × 17 = 8.262
32 × 5 × 11 × 17 = 8.415
28 × 3 × 11 = 8.448
26 × 33 × 5 = 8.640
29 × 17 = 8.704
25 × 52 × 11 = 8.800
2 × 34 × 5 × 11 = 8.910
24 × 3 × 11 × 17 = 8.976
22 × 33 × 5 × 17 = 9.180
210 × 32 = 9.216
2 × 52 × 11 × 17 = 9.350
25 × 33 × 11 = 9.504
27 × 3 × 52 = 9.600
23 × 35 × 5 = 9.720
26 × 32 × 17 = 9.792
22 × 32 × 52 × 11 = 9.900
2 × 33 × 11 × 17 = 10.098
23 × 3 × 52 × 17 = 10.200
27 × 34 = 10.368
26 × 3 × 5 × 11 = 10.560
22 × 35 × 11 = 10.692
24 × 33 × 52 = 10.800
27 × 5 × 17 = 10.880
23 × 34 × 17 = 11.016
22 × 3 × 5 × 11 × 17 = 11.220
210 × 11 = 11.264
33 × 52 × 17 = 11.475
28 × 32 × 5 = 11.520
24 × 36 = 11.664
23 × 33 × 5 × 11 = 11.880
26 × 11 × 17 = 11.968
2 × 35 × 52 = 12.150
24 × 32 × 5 × 17 = 12.240
36 × 17 = 12.393
27 × 32 × 11 = 12.672
29 × 52 = 12.800
25 × 34 × 5 = 12.960
28 × 3 × 17 = 13.056
24 × 3 × 52 × 11 = 13.200
35 × 5 × 11 = 13.365
23 × 32 × 11 × 17 = 13.464
25 × 52 × 17 = 13.600
2 × 34 × 5 × 17 = 13.770
29 × 33 = 13.824
3 × 52 × 11 × 17 = 14.025
28 × 5 × 11 = 14.080
24 × 34 × 11 = 14.256
26 × 32 × 52 = 14.400
22 × 36 × 5 = 14.580
25 × 33 × 17 = 14.688
2 × 33 × 52 × 11 = 14.850
24 × 5 × 11 × 17 = 14.960
34 × 11 × 17 = 15.147
22 × 32 × 52 × 17 = 15.300
210 × 3 × 5 = 15.360
26 × 35 = 15.552
25 × 32 × 5 × 11 = 15.840
2 × 36 × 11 = 16.038
23 × 34 × 52 = 16.200
26 × 3 × 5 × 17 = 16.320
22 × 35 × 17 = 16.524
2 × 32 × 5 × 11 × 17 = 16.830
29 × 3 × 11 = 16.896
27 × 33 × 5 = 17.280
210 × 17 = 17.408
26 × 52 × 11 = 17.600
22 × 34 × 5 × 11 = 17.820
25 × 3 × 11 × 17 = 17.952
36 × 52 = 18.225
23 × 33 × 5 × 17 = 18.360
22 × 52 × 11 × 17 = 18.700
26 × 33 × 11 = 19.008
28 × 3 × 52 = 19.200
24 × 35 × 5 = 19.440
27 × 32 × 17 = 19.584
23 × 32 × 52 × 11 = 19.800
22 × 33 × 11 × 17 = 20.196
24 × 3 × 52 × 17 = 20.400
35 × 5 × 17 = 20.655
28 × 34 = 20.736
27 × 3 × 5 × 11 = 21.120
23 × 35 × 11 = 21.384
25 × 33 × 52 = 21.600
28 × 5 × 17 = 21.760
24 × 34 × 17 = 22.032
34 × 52 × 11 = 22.275
23 × 3 × 5 × 11 × 17 = 22.440
2 × 33 × 52 × 17 = 22.950
29 × 32 × 5 = 23.040
25 × 36 = 23.328
24 × 33 × 5 × 11 = 23.760
27 × 11 × 17 = 23.936
22 × 35 × 52 = 24.300
25 × 32 × 5 × 17 = 24.480
2 × 36 × 17 = 24.786
33 × 5 × 11 × 17 = 25.245
28 × 32 × 11 = 25.344
210 × 52 = 25.600
26 × 34 × 5 = 25.920
29 × 3 × 17 = 26.112
25 × 3 × 52 × 11 = 26.400
2 × 35 × 5 × 11 = 26.730
24 × 32 × 11 × 17 = 26.928
26 × 52 × 17 = 27.200
22 × 34 × 5 × 17 = 27.540
210 × 33 = 27.648
2 × 3 × 52 × 11 × 17 = 28.050
29 × 5 × 11 = 28.160
25 × 34 × 11 = 28.512
27 × 32 × 52 = 28.800
23 × 36 × 5 = 29.160
26 × 33 × 17 = 29.376
22 × 33 × 52 × 11 = 29.700
25 × 5 × 11 × 17 = 29.920
2 × 34 × 11 × 17 = 30.294
23 × 32 × 52 × 17 = 30.600
27 × 35 = 31.104
26 × 32 × 5 × 11 = 31.680
22 × 36 × 11 = 32.076
24 × 34 × 52 = 32.400
27 × 3 × 5 × 17 = 32.640
23 × 35 × 17 = 33.048
22 × 32 × 5 × 11 × 17 = 33.660
210 × 3 × 11 = 33.792
34 × 52 × 17 = 34.425
28 × 33 × 5 = 34.560
27 × 52 × 11 = 35.200
23 × 34 × 5 × 11 = 35.640
26 × 3 × 11 × 17 = 35.904
2 × 36 × 52 = 36.450
24 × 33 × 5 × 17 = 36.720
23 × 52 × 11 × 17 = 37.400
27 × 33 × 11 = 38.016
29 × 3 × 52 = 38.400
25 × 35 × 5 = 38.880
28 × 32 × 17 = 39.168
24 × 32 × 52 × 11 = 39.600
36 × 5 × 11 = 40.095
23 × 33 × 11 × 17 = 40.392
25 × 3 × 52 × 17 = 40.800
2 × 35 × 5 × 17 = 41.310
29 × 34 = 41.472
32 × 52 × 11 × 17 = 42.075
28 × 3 × 5 × 11 = 42.240
24 × 35 × 11 = 42.768
26 × 33 × 52 = 43.200
29 × 5 × 17 = 43.520
25 × 34 × 17 = 44.064
2 × 34 × 52 × 11 = 44.550
24 × 3 × 5 × 11 × 17 = 44.880
35 × 11 × 17 = 45.441
22 × 33 × 52 × 17 = 45.900
210 × 32 × 5 = 46.080
26 × 36 = 46.656
25 × 33 × 5 × 11 = 47.520
28 × 11 × 17 = 47.872
23 × 35 × 52 = 48.600
26 × 32 × 5 × 17 = 48.960
22 × 36 × 17 = 49.572
2 × 33 × 5 × 11 × 17 = 50.490
29 × 32 × 11 = 50.688
27 × 34 × 5 = 51.840
210 × 3 × 17 = 52.224
26 × 3 × 52 × 11 = 52.800
22 × 35 × 5 × 11 = 53.460
25 × 32 × 11 × 17 = 53.856
27 × 52 × 17 = 54.400
23 × 34 × 5 × 17 = 55.080
22 × 3 × 52 × 11 × 17 = 56.100
210 × 5 × 11 = 56.320
26 × 34 × 11 = 57.024
28 × 32 × 52 = 57.600
24 × 36 × 5 = 58.320
27 × 33 × 17 = 58.752
Diese Liste wird unten fortgesetzt...

... Diese Liste wird von oben fortgesetzt
23 × 33 × 52 × 11 = 59.400
26 × 5 × 11 × 17 = 59.840
22 × 34 × 11 × 17 = 60.588
24 × 32 × 52 × 17 = 61.200
36 × 5 × 17 = 61.965
28 × 35 = 62.208
27 × 32 × 5 × 11 = 63.360
23 × 36 × 11 = 64.152
25 × 34 × 52 = 64.800
28 × 3 × 5 × 17 = 65.280
24 × 35 × 17 = 66.096
35 × 52 × 11 = 66.825
23 × 32 × 5 × 11 × 17 = 67.320
2 × 34 × 52 × 17 = 68.850
29 × 33 × 5 = 69.120
28 × 52 × 11 = 70.400
24 × 34 × 5 × 11 = 71.280
27 × 3 × 11 × 17 = 71.808
22 × 36 × 52 = 72.900
25 × 33 × 5 × 17 = 73.440
24 × 52 × 11 × 17 = 74.800
34 × 5 × 11 × 17 = 75.735
28 × 33 × 11 = 76.032
210 × 3 × 52 = 76.800
26 × 35 × 5 = 77.760
29 × 32 × 17 = 78.336
25 × 32 × 52 × 11 = 79.200
2 × 36 × 5 × 11 = 80.190
24 × 33 × 11 × 17 = 80.784
26 × 3 × 52 × 17 = 81.600
22 × 35 × 5 × 17 = 82.620
210 × 34 = 82.944
2 × 32 × 52 × 11 × 17 = 84.150
29 × 3 × 5 × 11 = 84.480
25 × 35 × 11 = 85.536
27 × 33 × 52 = 86.400
210 × 5 × 17 = 87.040
26 × 34 × 17 = 88.128
22 × 34 × 52 × 11 = 89.100
25 × 3 × 5 × 11 × 17 = 89.760
2 × 35 × 11 × 17 = 90.882
23 × 33 × 52 × 17 = 91.800
27 × 36 = 93.312
26 × 33 × 5 × 11 = 95.040
29 × 11 × 17 = 95.744
24 × 35 × 52 = 97.200
27 × 32 × 5 × 17 = 97.920
23 × 36 × 17 = 99.144
22 × 33 × 5 × 11 × 17 = 100.980
210 × 32 × 11 = 101.376
35 × 52 × 17 = 103.275
28 × 34 × 5 = 103.680
27 × 3 × 52 × 11 = 105.600
23 × 35 × 5 × 11 = 106.920
26 × 32 × 11 × 17 = 107.712
28 × 52 × 17 = 108.800
24 × 34 × 5 × 17 = 110.160
23 × 3 × 52 × 11 × 17 = 112.200
27 × 34 × 11 = 114.048
29 × 32 × 52 = 115.200
25 × 36 × 5 = 116.640
28 × 33 × 17 = 117.504
24 × 33 × 52 × 11 = 118.800
27 × 5 × 11 × 17 = 119.680
23 × 34 × 11 × 17 = 121.176
25 × 32 × 52 × 17 = 122.400
2 × 36 × 5 × 17 = 123.930
29 × 35 = 124.416
33 × 52 × 11 × 17 = 126.225
28 × 32 × 5 × 11 = 126.720
24 × 36 × 11 = 128.304
26 × 34 × 52 = 129.600
29 × 3 × 5 × 17 = 130.560
25 × 35 × 17 = 132.192
2 × 35 × 52 × 11 = 133.650
24 × 32 × 5 × 11 × 17 = 134.640
36 × 11 × 17 = 136.323
22 × 34 × 52 × 17 = 137.700
210 × 33 × 5 = 138.240
29 × 52 × 11 = 140.800
25 × 34 × 5 × 11 = 142.560
28 × 3 × 11 × 17 = 143.616
23 × 36 × 52 = 145.800
26 × 33 × 5 × 17 = 146.880
25 × 52 × 11 × 17 = 149.600
2 × 34 × 5 × 11 × 17 = 151.470
29 × 33 × 11 = 152.064
27 × 35 × 5 = 155.520
210 × 32 × 17 = 156.672
26 × 32 × 52 × 11 = 158.400
22 × 36 × 5 × 11 = 160.380
25 × 33 × 11 × 17 = 161.568
27 × 3 × 52 × 17 = 163.200
23 × 35 × 5 × 17 = 165.240
22 × 32 × 52 × 11 × 17 = 168.300
210 × 3 × 5 × 11 = 168.960
26 × 35 × 11 = 171.072
28 × 33 × 52 = 172.800
27 × 34 × 17 = 176.256
23 × 34 × 52 × 11 = 178.200
26 × 3 × 5 × 11 × 17 = 179.520
22 × 35 × 11 × 17 = 181.764
24 × 33 × 52 × 17 = 183.600
28 × 36 = 186.624
27 × 33 × 5 × 11 = 190.080
210 × 11 × 17 = 191.488
25 × 35 × 52 = 194.400
28 × 32 × 5 × 17 = 195.840
24 × 36 × 17 = 198.288
36 × 52 × 11 = 200.475
23 × 33 × 5 × 11 × 17 = 201.960
2 × 35 × 52 × 17 = 206.550
29 × 34 × 5 = 207.360
28 × 3 × 52 × 11 = 211.200
24 × 35 × 5 × 11 = 213.840
27 × 32 × 11 × 17 = 215.424
29 × 52 × 17 = 217.600
25 × 34 × 5 × 17 = 220.320
24 × 3 × 52 × 11 × 17 = 224.400
35 × 5 × 11 × 17 = 227.205
28 × 34 × 11 = 228.096
210 × 32 × 52 = 230.400
26 × 36 × 5 = 233.280
29 × 33 × 17 = 235.008
25 × 33 × 52 × 11 = 237.600
28 × 5 × 11 × 17 = 239.360
24 × 34 × 11 × 17 = 242.352
26 × 32 × 52 × 17 = 244.800
22 × 36 × 5 × 17 = 247.860
210 × 35 = 248.832
2 × 33 × 52 × 11 × 17 = 252.450
29 × 32 × 5 × 11 = 253.440
25 × 36 × 11 = 256.608
27 × 34 × 52 = 259.200
210 × 3 × 5 × 17 = 261.120
26 × 35 × 17 = 264.384
22 × 35 × 52 × 11 = 267.300
25 × 32 × 5 × 11 × 17 = 269.280
2 × 36 × 11 × 17 = 272.646
23 × 34 × 52 × 17 = 275.400
210 × 52 × 11 = 281.600
26 × 34 × 5 × 11 = 285.120
29 × 3 × 11 × 17 = 287.232
24 × 36 × 52 = 291.600
27 × 33 × 5 × 17 = 293.760
26 × 52 × 11 × 17 = 299.200
22 × 34 × 5 × 11 × 17 = 302.940
210 × 33 × 11 = 304.128
36 × 52 × 17 = 309.825
28 × 35 × 5 = 311.040
27 × 32 × 52 × 11 = 316.800
23 × 36 × 5 × 11 = 320.760
26 × 33 × 11 × 17 = 323.136
28 × 3 × 52 × 17 = 326.400
24 × 35 × 5 × 17 = 330.480
23 × 32 × 52 × 11 × 17 = 336.600
27 × 35 × 11 = 342.144
29 × 33 × 52 = 345.600
28 × 34 × 17 = 352.512
24 × 34 × 52 × 11 = 356.400
27 × 3 × 5 × 11 × 17 = 359.040
23 × 35 × 11 × 17 = 363.528
25 × 33 × 52 × 17 = 367.200
29 × 36 = 373.248
34 × 52 × 11 × 17 = 378.675
28 × 33 × 5 × 11 = 380.160
26 × 35 × 52 = 388.800
29 × 32 × 5 × 17 = 391.680
25 × 36 × 17 = 396.576
2 × 36 × 52 × 11 = 400.950
24 × 33 × 5 × 11 × 17 = 403.920
22 × 35 × 52 × 17 = 413.100
210 × 34 × 5 = 414.720
29 × 3 × 52 × 11 = 422.400
25 × 35 × 5 × 11 = 427.680
28 × 32 × 11 × 17 = 430.848
210 × 52 × 17 = 435.200
26 × 34 × 5 × 17 = 440.640
25 × 3 × 52 × 11 × 17 = 448.800
2 × 35 × 5 × 11 × 17 = 454.410
29 × 34 × 11 = 456.192
27 × 36 × 5 = 466.560
210 × 33 × 17 = 470.016
26 × 33 × 52 × 11 = 475.200
29 × 5 × 11 × 17 = 478.720
25 × 34 × 11 × 17 = 484.704
27 × 32 × 52 × 17 = 489.600
23 × 36 × 5 × 17 = 495.720
22 × 33 × 52 × 11 × 17 = 504.900
210 × 32 × 5 × 11 = 506.880
26 × 36 × 11 = 513.216
28 × 34 × 52 = 518.400
27 × 35 × 17 = 528.768
23 × 35 × 52 × 11 = 534.600
26 × 32 × 5 × 11 × 17 = 538.560
22 × 36 × 11 × 17 = 545.292
24 × 34 × 52 × 17 = 550.800
27 × 34 × 5 × 11 = 570.240
210 × 3 × 11 × 17 = 574.464
25 × 36 × 52 = 583.200
28 × 33 × 5 × 17 = 587.520
27 × 52 × 11 × 17 = 598.400
23 × 34 × 5 × 11 × 17 = 605.880
2 × 36 × 52 × 17 = 619.650
29 × 35 × 5 = 622.080
28 × 32 × 52 × 11 = 633.600
24 × 36 × 5 × 11 = 641.520
27 × 33 × 11 × 17 = 646.272
29 × 3 × 52 × 17 = 652.800
25 × 35 × 5 × 17 = 660.960
24 × 32 × 52 × 11 × 17 = 673.200
36 × 5 × 11 × 17 = 681.615
28 × 35 × 11 = 684.288
210 × 33 × 52 = 691.200
29 × 34 × 17 = 705.024
25 × 34 × 52 × 11 = 712.800
28 × 3 × 5 × 11 × 17 = 718.080
24 × 35 × 11 × 17 = 727.056
26 × 33 × 52 × 17 = 734.400
210 × 36 = 746.496
2 × 34 × 52 × 11 × 17 = 757.350
29 × 33 × 5 × 11 = 760.320
27 × 35 × 52 = 777.600
210 × 32 × 5 × 17 = 783.360
26 × 36 × 17 = 793.152
22 × 36 × 52 × 11 = 801.900
25 × 33 × 5 × 11 × 17 = 807.840
23 × 35 × 52 × 17 = 826.200
210 × 3 × 52 × 11 = 844.800
26 × 35 × 5 × 11 = 855.360
29 × 32 × 11 × 17 = 861.696
27 × 34 × 5 × 17 = 881.280
26 × 3 × 52 × 11 × 17 = 897.600
22 × 35 × 5 × 11 × 17 = 908.820
210 × 34 × 11 = 912.384
28 × 36 × 5 = 933.120
27 × 33 × 52 × 11 = 950.400
210 × 5 × 11 × 17 = 957.440
26 × 34 × 11 × 17 = 969.408
28 × 32 × 52 × 17 = 979.200
24 × 36 × 5 × 17 = 991.440
23 × 33 × 52 × 11 × 17 = 1.009.800
27 × 36 × 11 = 1.026.432
29 × 34 × 52 = 1.036.800
28 × 35 × 17 = 1.057.536
24 × 35 × 52 × 11 = 1.069.200
27 × 32 × 5 × 11 × 17 = 1.077.120
23 × 36 × 11 × 17 = 1.090.584
25 × 34 × 52 × 17 = 1.101.600
35 × 52 × 11 × 17 = 1.136.025
28 × 34 × 5 × 11 = 1.140.480
26 × 36 × 52 = 1.166.400
29 × 33 × 5 × 17 = 1.175.040
28 × 52 × 11 × 17 = 1.196.800
24 × 34 × 5 × 11 × 17 = 1.211.760
22 × 36 × 52 × 17 = 1.239.300
210 × 35 × 5 = 1.244.160
29 × 32 × 52 × 11 = 1.267.200
25 × 36 × 5 × 11 = 1.283.040
28 × 33 × 11 × 17 = 1.292.544
210 × 3 × 52 × 17 = 1.305.600
26 × 35 × 5 × 17 = 1.321.920
25 × 32 × 52 × 11 × 17 = 1.346.400
2 × 36 × 5 × 11 × 17 = 1.363.230
29 × 35 × 11 = 1.368.576
210 × 34 × 17 = 1.410.048
26 × 34 × 52 × 11 = 1.425.600
29 × 3 × 5 × 11 × 17 = 1.436.160
25 × 35 × 11 × 17 = 1.454.112
27 × 33 × 52 × 17 = 1.468.800
22 × 34 × 52 × 11 × 17 = 1.514.700
210 × 33 × 5 × 11 = 1.520.640
28 × 35 × 52 = 1.555.200
27 × 36 × 17 = 1.586.304
23 × 36 × 52 × 11 = 1.603.800
26 × 33 × 5 × 11 × 17 = 1.615.680
24 × 35 × 52 × 17 = 1.652.400
27 × 35 × 5 × 11 = 1.710.720
210 × 32 × 11 × 17 = 1.723.392
28 × 34 × 5 × 17 = 1.762.560
27 × 3 × 52 × 11 × 17 = 1.795.200
23 × 35 × 5 × 11 × 17 = 1.817.640
29 × 36 × 5 = 1.866.240
28 × 33 × 52 × 11 = 1.900.800
27 × 34 × 11 × 17 = 1.938.816
29 × 32 × 52 × 17 = 1.958.400
25 × 36 × 5 × 17 = 1.982.880
24 × 33 × 52 × 11 × 17 = 2.019.600
28 × 36 × 11 = 2.052.864
210 × 34 × 52 = 2.073.600
29 × 35 × 17 = 2.115.072
25 × 35 × 52 × 11 = 2.138.400
28 × 32 × 5 × 11 × 17 = 2.154.240
24 × 36 × 11 × 17 = 2.181.168
26 × 34 × 52 × 17 = 2.203.200
2 × 35 × 52 × 11 × 17 = 2.272.050
29 × 34 × 5 × 11 = 2.280.960
27 × 36 × 52 = 2.332.800
210 × 33 × 5 × 17 = 2.350.080
29 × 52 × 11 × 17 = 2.393.600
25 × 34 × 5 × 11 × 17 = 2.423.520
23 × 36 × 52 × 17 = 2.478.600
210 × 32 × 52 × 11 = 2.534.400
26 × 36 × 5 × 11 = 2.566.080
29 × 33 × 11 × 17 = 2.585.088
27 × 35 × 5 × 17 = 2.643.840
26 × 32 × 52 × 11 × 17 = 2.692.800
22 × 36 × 5 × 11 × 17 = 2.726.460
210 × 35 × 11 = 2.737.152
27 × 34 × 52 × 11 = 2.851.200
210 × 3 × 5 × 11 × 17 = 2.872.320
26 × 35 × 11 × 17 = 2.908.224
28 × 33 × 52 × 17 = 2.937.600
23 × 34 × 52 × 11 × 17 = 3.029.400
29 × 35 × 52 = 3.110.400
28 × 36 × 17 = 3.172.608
24 × 36 × 52 × 11 = 3.207.600
27 × 33 × 5 × 11 × 17 = 3.231.360
25 × 35 × 52 × 17 = 3.304.800
36 × 52 × 11 × 17 = 3.408.075
28 × 35 × 5 × 11 = 3.421.440
29 × 34 × 5 × 17 = 3.525.120
28 × 3 × 52 × 11 × 17 = 3.590.400
24 × 35 × 5 × 11 × 17 = 3.635.280
210 × 36 × 5 = 3.732.480
29 × 33 × 52 × 11 = 3.801.600
28 × 34 × 11 × 17 = 3.877.632
210 × 32 × 52 × 17 = 3.916.800
26 × 36 × 5 × 17 = 3.965.760
25 × 33 × 52 × 11 × 17 = 4.039.200
29 × 36 × 11 = 4.105.728
210 × 35 × 17 = 4.230.144
26 × 35 × 52 × 11 = 4.276.800
29 × 32 × 5 × 11 × 17 = 4.308.480
25 × 36 × 11 × 17 = 4.362.336
27 × 34 × 52 × 17 = 4.406.400
22 × 35 × 52 × 11 × 17 = 4.544.100
210 × 34 × 5 × 11 = 4.561.920
28 × 36 × 52 = 4.665.600
210 × 52 × 11 × 17 = 4.787.200
26 × 34 × 5 × 11 × 17 = 4.847.040
24 × 36 × 52 × 17 = 4.957.200
27 × 36 × 5 × 11 = 5.132.160
210 × 33 × 11 × 17 = 5.170.176
28 × 35 × 5 × 17 = 5.287.680
27 × 32 × 52 × 11 × 17 = 5.385.600
23 × 36 × 5 × 11 × 17 = 5.452.920
28 × 34 × 52 × 11 = 5.702.400
27 × 35 × 11 × 17 = 5.816.448
29 × 33 × 52 × 17 = 5.875.200
24 × 34 × 52 × 11 × 17 = 6.058.800
210 × 35 × 52 = 6.220.800
29 × 36 × 17 = 6.345.216
25 × 36 × 52 × 11 = 6.415.200
28 × 33 × 5 × 11 × 17 = 6.462.720
26 × 35 × 52 × 17 = 6.609.600
2 × 36 × 52 × 11 × 17 = 6.816.150
29 × 35 × 5 × 11 = 6.842.880
210 × 34 × 5 × 17 = 7.050.240
29 × 3 × 52 × 11 × 17 = 7.180.800
25 × 35 × 5 × 11 × 17 = 7.270.560
210 × 33 × 52 × 11 = 7.603.200
29 × 34 × 11 × 17 = 7.755.264
27 × 36 × 5 × 17 = 7.931.520
26 × 33 × 52 × 11 × 17 = 8.078.400
210 × 36 × 11 = 8.211.456
27 × 35 × 52 × 11 = 8.553.600
210 × 32 × 5 × 11 × 17 = 8.616.960
26 × 36 × 11 × 17 = 8.724.672
28 × 34 × 52 × 17 = 8.812.800
23 × 35 × 52 × 11 × 17 = 9.088.200
29 × 36 × 52 = 9.331.200
27 × 34 × 5 × 11 × 17 = 9.694.080
25 × 36 × 52 × 17 = 9.914.400
28 × 36 × 5 × 11 = 10.264.320
29 × 35 × 5 × 17 = 10.575.360
28 × 32 × 52 × 11 × 17 = 10.771.200
24 × 36 × 5 × 11 × 17 = 10.905.840
29 × 34 × 52 × 11 = 11.404.800
28 × 35 × 11 × 17 = 11.632.896
210 × 33 × 52 × 17 = 11.750.400
25 × 34 × 52 × 11 × 17 = 12.117.600
210 × 36 × 17 = 12.690.432
26 × 36 × 52 × 11 = 12.830.400
29 × 33 × 5 × 11 × 17 = 12.925.440
27 × 35 × 52 × 17 = 13.219.200
22 × 36 × 52 × 11 × 17 = 13.632.300
210 × 35 × 5 × 11 = 13.685.760
210 × 3 × 52 × 11 × 17 = 14.361.600
26 × 35 × 5 × 11 × 17 = 14.541.120
210 × 34 × 11 × 17 = 15.510.528
28 × 36 × 5 × 17 = 15.863.040
27 × 33 × 52 × 11 × 17 = 16.156.800
28 × 35 × 52 × 11 = 17.107.200
27 × 36 × 11 × 17 = 17.449.344
29 × 34 × 52 × 17 = 17.625.600
24 × 35 × 52 × 11 × 17 = 18.176.400
210 × 36 × 52 = 18.662.400
28 × 34 × 5 × 11 × 17 = 19.388.160
26 × 36 × 52 × 17 = 19.828.800
29 × 36 × 5 × 11 = 20.528.640
210 × 35 × 5 × 17 = 21.150.720
29 × 32 × 52 × 11 × 17 = 21.542.400
25 × 36 × 5 × 11 × 17 = 21.811.680
210 × 34 × 52 × 11 = 22.809.600
29 × 35 × 11 × 17 = 23.265.792
26 × 34 × 52 × 11 × 17 = 24.235.200
27 × 36 × 52 × 11 = 25.660.800
210 × 33 × 5 × 11 × 17 = 25.850.880
28 × 35 × 52 × 17 = 26.438.400
23 × 36 × 52 × 11 × 17 = 27.264.600
27 × 35 × 5 × 11 × 17 = 29.082.240
29 × 36 × 5 × 17 = 31.726.080
28 × 33 × 52 × 11 × 17 = 32.313.600
29 × 35 × 52 × 11 = 34.214.400
28 × 36 × 11 × 17 = 34.898.688
210 × 34 × 52 × 17 = 35.251.200
25 × 35 × 52 × 11 × 17 = 36.352.800
29 × 34 × 5 × 11 × 17 = 38.776.320
27 × 36 × 52 × 17 = 39.657.600
210 × 36 × 5 × 11 = 41.057.280
210 × 32 × 52 × 11 × 17 = 43.084.800
26 × 36 × 5 × 11 × 17 = 43.623.360
210 × 35 × 11 × 17 = 46.531.584
27 × 34 × 52 × 11 × 17 = 48.470.400
28 × 36 × 52 × 11 = 51.321.600
29 × 35 × 52 × 17 = 52.876.800
24 × 36 × 52 × 11 × 17 = 54.529.200
28 × 35 × 5 × 11 × 17 = 58.164.480
210 × 36 × 5 × 17 = 63.452.160
29 × 33 × 52 × 11 × 17 = 64.627.200
210 × 35 × 52 × 11 = 68.428.800
29 × 36 × 11 × 17 = 69.797.376
26 × 35 × 52 × 11 × 17 = 72.705.600
210 × 34 × 5 × 11 × 17 = 77.552.640
28 × 36 × 52 × 17 = 79.315.200
27 × 36 × 5 × 11 × 17 = 87.246.720
28 × 34 × 52 × 11 × 17 = 96.940.800
29 × 36 × 52 × 11 = 102.643.200
210 × 35 × 52 × 17 = 105.753.600
25 × 36 × 52 × 11 × 17 = 109.058.400
29 × 35 × 5 × 11 × 17 = 116.328.960
210 × 33 × 52 × 11 × 17 = 129.254.400
210 × 36 × 11 × 17 = 139.594.752
27 × 35 × 52 × 11 × 17 = 145.411.200
29 × 36 × 52 × 17 = 158.630.400
28 × 36 × 5 × 11 × 17 = 174.493.440
29 × 34 × 52 × 11 × 17 = 193.881.600
210 × 36 × 52 × 11 = 205.286.400
26 × 36 × 52 × 11 × 17 = 218.116.800
210 × 35 × 5 × 11 × 17 = 232.657.920
28 × 35 × 52 × 11 × 17 = 290.822.400
210 × 36 × 52 × 17 = 317.260.800
29 × 36 × 5 × 11 × 17 = 348.986.880
210 × 34 × 52 × 11 × 17 = 387.763.200
27 × 36 × 52 × 11 × 17 = 436.233.600
29 × 35 × 52 × 11 × 17 = 581.644.800
210 × 36 × 5 × 11 × 17 = 697.973.760
28 × 36 × 52 × 11 × 17 = 872.467.200
210 × 35 × 52 × 11 × 17 = 1.163.289.600
29 × 36 × 52 × 11 × 17 = 1.744.934.400
210 × 36 × 52 × 11 × 17 = 3.489.868.800

27.918.950.400 und 59.327.769.600 haben 924 gemeinsame Teiler:
1; 2; 3; 4; 5; 6; 8; 9; 10; 11; 12; 15; 16; 17; 18; 20; 22; 24; 25; 27; 30; 32; 33; 34; 36; 40; 44; 45; 48; 50; 51; 54; 55; 60; 64; 66; 68; 72; 75; 80; 81; 85; 88; 90; 96; 99; 100; 102; 108; 110; 120; 128; 132; 135; 136; 144; 150; 153; 160; 162; 165; 170; 176; 180; 187; 192; 198; 200; 204; 216; 220; 225; 240; 243; 255; 256; 264; 270; 272; 275; 288; 297; 300; 306; 320; 324; 330; 340; 352; 360; 374; 384; 396; 400; 405; 408; 425; 432; 440; 450; 459; 480; 486; 495; 510; 512; 528; 540; 544; 550; 561; 576; 594; 600; 612; 640; 648; 660; 675; 680; 704; 720; 729; 748; 765; 768; 792; 800; 810; 816; 825; 850; 864; 880; 891; 900; 918; 935; 960; 972; 990; 1.020; 1.024; 1.056; 1.080; 1.088; 1.100; 1.122; 1.152; 1.188; 1.200; 1.215; 1.224; 1.275; 1.280; 1.296; 1.320; 1.350; 1.360; 1.377; 1.408; 1.440; 1.458; 1.485; 1.496; 1.530; 1.536; 1.584; 1.600; 1.620; 1.632; 1.650; 1.683; 1.700; 1.728; 1.760; 1.782; 1.800; 1.836; 1.870; 1.920; 1.944; 1.980; 2.025; 2.040; 2.112; 2.160; 2.176; 2.200; 2.244; 2.295; 2.304; 2.376; 2.400; 2.430; 2.448; 2.475; 2.550; 2.560; 2.592; 2.640; 2.673; 2.700; 2.720; 2.754; 2.805; 2.816; 2.880; 2.916; 2.970; 2.992; 3.060; 3.072; 3.168; 3.200; 3.240; 3.264; 3.300; 3.366; 3.400; 3.456; 3.520; 3.564; 3.600; 3.645; 3.672; 3.740; 3.825; 3.840; 3.888; 3.960; 4.050; 4.080; 4.131; 4.224; 4.320; 4.352; 4.400; 4.455; 4.488; 4.590; 4.608; 4.675; 4.752; 4.800; 4.860; 4.896; 4.950; 5.049; 5.100; 5.120; 5.184; 5.280; 5.346; 5.400; 5.440; 5.508; 5.610; 5.632; 5.760; 5.832; 5.940; 5.984; 6.075; 6.120; 6.336; 6.400; 6.480; 6.528; 6.600; 6.732; 6.800; 6.885; 6.912; 7.040; 7.128; 7.200; 7.290; 7.344; 7.425; 7.480; 7.650; 7.680; 7.776; 7.920; 8.019; 8.100; 8.160; 8.262; 8.415; 8.448; 8.640; 8.704; 8.800; 8.910; 8.976; 9.180; 9.216; 9.350; 9.504; 9.600; 9.720; 9.792; 9.900; 10.098; 10.200; 10.368; 10.560; 10.692; 10.800; 10.880; 11.016; 11.220; 11.264; 11.475; 11.520; 11.664; 11.880; 11.968; 12.150; 12.240; 12.393; 12.672; 12.800; 12.960; 13.056; 13.200; 13.365; 13.464; 13.600; 13.770; 13.824; 14.025; 14.080; 14.256; 14.400; 14.580; 14.688; 14.850; 14.960; 15.147; 15.300; 15.360; 15.552; 15.840; 16.038; 16.200; 16.320; 16.524; 16.830; 16.896; 17.280; 17.408; 17.600; 17.820; 17.952; 18.225; 18.360; 18.700; 19.008; 19.200; 19.440; 19.584; 19.800; 20.196; 20.400; 20.655; 20.736; 21.120; 21.384; 21.600; 21.760; 22.032; 22.275; 22.440; 22.950; 23.040; 23.328; 23.760; 23.936; 24.300; 24.480; 24.786; 25.245; 25.344; 25.600; 25.920; 26.112; 26.400; 26.730; 26.928; 27.200; 27.540; 27.648; 28.050; 28.160; 28.512; 28.800; 29.160; 29.376; 29.700; 29.920; 30.294; 30.600; 31.104; 31.680; 32.076; 32.400; 32.640; 33.048; 33.660; 33.792; 34.425; 34.560; 35.200; 35.640; 35.904; 36.450; 36.720; 37.400; 38.016; 38.400; 38.880; 39.168; 39.600; 40.095; 40.392; 40.800; 41.310; 41.472; 42.075; 42.240; 42.768; 43.200; 43.520; 44.064; 44.550; 44.880; 45.441; 45.900; 46.080; 46.656; 47.520; 47.872; 48.600; 48.960; 49.572; 50.490; 50.688; 51.840; 52.224; 52.800; 53.460; 53.856; 54.400; 55.080; 56.100; 56.320; 57.024; 57.600; 58.320; 58.752; 59.400; 59.840; 60.588; 61.200; 61.965; 62.208; 63.360; 64.152; 64.800; 65.280; 66.096; 66.825; 67.320; 68.850; 69.120; 70.400; 71.280; 71.808; 72.900; 73.440; 74.800; 75.735; 76.032; 76.800; 77.760; 78.336; 79.200; 80.190; 80.784; 81.600; 82.620; 82.944; 84.150; 84.480; 85.536; 86.400; 87.040; 88.128; 89.100; 89.760; 90.882; 91.800; 93.312; 95.040; 95.744; 97.200; 97.920; 99.144; 100.980; 101.376; 103.275; 103.680; 105.600; 106.920; 107.712; 108.800; 110.160; 112.200; 114.048; 115.200; 116.640; 117.504; 118.800; 119.680; 121.176; 122.400; 123.930; 124.416; 126.225; 126.720; 128.304; 129.600; 130.560; 132.192; 133.650; 134.640; 136.323; 137.700; 138.240; 140.800; 142.560; 143.616; 145.800; 146.880; 149.600; 151.470; 152.064; 155.520; 156.672; 158.400; 160.380; 161.568; 163.200; 165.240; 168.300; 168.960; 171.072; 172.800; 176.256; 178.200; 179.520; 181.764; 183.600; 186.624; 190.080; 191.488; 194.400; 195.840; 198.288; 200.475; 201.960; 206.550; 207.360; 211.200; 213.840; 215.424; 217.600; 220.320; 224.400; 227.205; 228.096; 230.400; 233.280; 235.008; 237.600; 239.360; 242.352; 244.800; 247.860; 248.832; 252.450; 253.440; 256.608; 259.200; 261.120; 264.384; 267.300; 269.280; 272.646; 275.400; 281.600; 285.120; 287.232; 291.600; 293.760; 299.200; 302.940; 304.128; 309.825; 311.040; 316.800; 320.760; 323.136; 326.400; 330.480; 336.600; 342.144; 345.600; 352.512; 356.400; 359.040; 363.528; 367.200; 373.248; 378.675; 380.160; 388.800; 391.680; 396.576; 400.950; 403.920; 413.100; 414.720; 422.400; 427.680; 430.848; 435.200; 440.640; 448.800; 454.410; 456.192; 466.560; 470.016; 475.200; 478.720; 484.704; 489.600; 495.720; 504.900; 506.880; 513.216; 518.400; 528.768; 534.600; 538.560; 545.292; 550.800; 570.240; 574.464; 583.200; 587.520; 598.400; 605.880; 619.650; 622.080; 633.600; 641.520; 646.272; 652.800; 660.960; 673.200; 681.615; 684.288; 691.200; 705.024; 712.800; 718.080; 727.056; 734.400; 746.496; 757.350; 760.320; 777.600; 783.360; 793.152; 801.900; 807.840; 826.200; 844.800; 855.360; 861.696; 881.280; 897.600; 908.820; 912.384; 933.120; 950.400; 957.440; 969.408; 979.200; 991.440; 1.009.800; 1.026.432; 1.036.800; 1.057.536; 1.069.200; 1.077.120; 1.090.584; 1.101.600; 1.136.025; 1.140.480; 1.166.400; 1.175.040; 1.196.800; 1.211.760; 1.239.300; 1.244.160; 1.267.200; 1.283.040; 1.292.544; 1.305.600; 1.321.920; 1.346.400; 1.363.230; 1.368.576; 1.410.048; 1.425.600; 1.436.160; 1.454.112; 1.468.800; 1.514.700; 1.520.640; 1.555.200; 1.586.304; 1.603.800; 1.615.680; 1.652.400; 1.710.720; 1.723.392; 1.762.560; 1.795.200; 1.817.640; 1.866.240; 1.900.800; 1.938.816; 1.958.400; 1.982.880; 2.019.600; 2.052.864; 2.073.600; 2.115.072; 2.138.400; 2.154.240; 2.181.168; 2.203.200; 2.272.050; 2.280.960; 2.332.800; 2.350.080; 2.393.600; 2.423.520; 2.478.600; 2.534.400; 2.566.080; 2.585.088; 2.643.840; 2.692.800; 2.726.460; 2.737.152; 2.851.200; 2.872.320; 2.908.224; 2.937.600; 3.029.400; 3.110.400; 3.172.608; 3.207.600; 3.231.360; 3.304.800; 3.408.075; 3.421.440; 3.525.120; 3.590.400; 3.635.280; 3.732.480; 3.801.600; 3.877.632; 3.916.800; 3.965.760; 4.039.200; 4.105.728; 4.230.144; 4.276.800; 4.308.480; 4.362.336; 4.406.400; 4.544.100; 4.561.920; 4.665.600; 4.787.200; 4.847.040; 4.957.200; 5.132.160; 5.170.176; 5.287.680; 5.385.600; 5.452.920; 5.702.400; 5.816.448; 5.875.200; 6.058.800; 6.220.800; 6.345.216; 6.415.200; 6.462.720; 6.609.600; 6.816.150; 6.842.880; 7.050.240; 7.180.800; 7.270.560; 7.603.200; 7.755.264; 7.931.520; 8.078.400; 8.211.456; 8.553.600; 8.616.960; 8.724.672; 8.812.800; 9.088.200; 9.331.200; 9.694.080; 9.914.400; 10.264.320; 10.575.360; 10.771.200; 10.905.840; 11.404.800; 11.632.896; 11.750.400; 12.117.600; 12.690.432; 12.830.400; 12.925.440; 13.219.200; 13.632.300; 13.685.760; 14.361.600; 14.541.120; 15.510.528; 15.863.040; 16.156.800; 17.107.200; 17.449.344; 17.625.600; 18.176.400; 18.662.400; 19.388.160; 19.828.800; 20.528.640; 21.150.720; 21.542.400; 21.811.680; 22.809.600; 23.265.792; 24.235.200; 25.660.800; 25.850.880; 26.438.400; 27.264.600; 29.082.240; 31.726.080; 32.313.600; 34.214.400; 34.898.688; 35.251.200; 36.352.800; 38.776.320; 39.657.600; 41.057.280; 43.084.800; 43.623.360; 46.531.584; 48.470.400; 51.321.600; 52.876.800; 54.529.200; 58.164.480; 63.452.160; 64.627.200; 68.428.800; 69.797.376; 72.705.600; 77.552.640; 79.315.200; 87.246.720; 96.940.800; 102.643.200; 105.753.600; 109.058.400; 116.328.960; 129.254.400; 139.594.752; 145.411.200; 158.630.400; 174.493.440; 193.881.600; 205.286.400; 218.116.800; 232.657.920; 290.822.400; 317.260.800; 348.986.880; 387.763.200; 436.233.600; 581.644.800; 697.973.760; 872.467.200; 1.163.289.600; 1.744.934.400 und 3.489.868.800
davon 5 Primfaktoren: 2; 3; 5; 11 und 17

Online-Rechner: Berechnen Sie alle Teiler der eingegebenen Zahlen

So berechnen Sie alle Teiler einer Zahl:

Zerlegen Sie die Zahl in Primfaktoren. Dann multiplizieren Sie diese Primfaktoren, indem Sie alle möglichen Kombinationen zwischen ihnen bilden.

Um die gemeinsamen Teiler zweier Zahlen zu berechnen:

Die gemeinsamen Teiler zweier Zahlen sind alle Teiler des größten gemeinsamen Teilers, ggT.

Zerlegen Sie den größten gemeinsamen Teiler in Primfaktoren. Dann multiplizieren Sie diese Primfaktoren, indem Sie alle möglichen Kombinationen zwischen ihnen bilden.

Die letzten 10 Sätze berechneter Teiler: von einer Zahl oder die gemeinsamen Teiler von zwei Zahlen

Theorie: Teiler, gemeinsame Teiler, der größte gemeinsame Teiler (ggT)

  • Wenn die Zahl „t“ ein Teiler der Zahl „a“ ist, dann werden wir bei der Primfaktorzerlegung von „t“ nur auf Primfaktoren stoßen, die auch in der Primfaktorzerlegung von „a“ vorkommen.
  • Wenn Exponenten beteiligt sind, ist der maximale Wert eines Exponenten für jede Basis einer Potenz, die in der Primfaktorzerlegung von „t“ gefunden wird, höchstens gleich dem Exponenten derselben Basis, die in der Primfaktorzerlegung von „a“ enthalten ist.
  • Hinweis: 23 = 2 × 2 × 2 = 8. 2 heißt Basis und 3 ist Exponent. Der Exponent zeigt an, wie oft die Basis mit sich selbst multipliziert wird. 23 ist die Potenz und 8 ist der Wert der Potenz. Wir sagen: 2 hoch 3.
  • Zum Beispiel ist 12 ein Teiler von 120 – der Rest ist Null, wenn 120 durch 12 geteilt wird.
  • Schauen wir uns die Primfaktorzerlegung beider Zahlen an und beachten Sie die Basen und die Exponenten, die bei der Primfaktorzerlegung beider Zahlen vorkommen:
  • 12 = 2 × 2 × 3 = 22 × 3
  • 120 = 2 × 2 × 2 × 3 × 5 = 23 × 3 × 5
  • 120 enthält alle Primfaktoren von 12, und alle Exponenten ihrer Basen sind höher als die von 12.
  • Wenn „t“ ein gemeinsamer Teiler von „a“ und „b“ ist, dann enthält die Primfaktorzerlegung von „t“ nur die gemeinsamen Primfaktoren, die an den Primfaktorzerlegungen von „a“ und „b“ beteiligt sind.
  • Wenn Exponenten beteiligt sind, ist der maximale Wert eines Exponenten für jede Basis einer Potenz, die in der Primfaktorzerlegung von „t“ vorkommt, höchstens gleich dem Minimum der Exponenten derselben Basis, die in der Primfaktorzerlegung von auftritt Zahlen „a“ und „b“.
  • Zum Beispiel ist 12 der gemeinsame Teiler von 48 und 360.
  • Der Rest ist Null, wenn entweder 48 durch 12 oder 360 durch 12 dividiert wird.
  • Hier sind die Primfaktorzerlegungen der drei Zahlen 12, 48 und 360:
  • 12 = 22 × 3
  • 48 = 24 × 3
  • 360 = 23 × 32 × 5
  • Bitte beachten Sie, dass 48 und 360 mehr Teiler haben: 2, 3, 4, 6, 8, 12, 24. Unter ihnen ist 24 der größte gemeinsame Teiler, ggT, von 48 und 360.
  • Der größte gemeinsame Teiler, ggT, zweier Zahlen, „a“ und „b“, ist das Produkt aller gemeinsamen Primfaktoren, die an der Primfaktorzerlegung von „a“ und „b“ durch die niedrigsten Potenzen beteiligt sind.
  • Basierend auf dieser Regel wird der größte gemeinsame Teiler, ggT, mehrerer Zahlen berechnet, wie im Beispiel unten gezeigt...
  • ggT (1.260; 3.024; 5.544) = ?
  • 1.260 = 22 × 32
  • 3.024 = 24 × 32 × 7
  • 5.544 = 23 × 32 × 7 × 11
  • Die gemeinsamen Primfaktoren sind:
  • 2 - sein niedrigster Exponent ist: min.(2; 3; 4) = 2
  • 3 - sein niedrigster Exponent ist: min.(2; 2; 2) = 2
  • ggT (1.260; 3.024; 5.544) = 22 × 32 = 252
  • Teilerfremde Zahlen:
  • Wenn zwei Zahlen „a“ und „b“ keine anderen gemeinsamen Teiler als 1 haben, ggT (a; b) = 1, dann heißen die Zahlen „a“ und „b“ teilerfremd.
  • Teiler der ggT
  • Teiler von ggT: Wenn „a“ und „b“ nicht teilerfremd sind, dann ist jeder gemeinsame Teiler von „a“ und „b“ auch ein Teiler des größten gemeinsamen Teilers ggT von „a“ und „b“.