Given the Numbers 7,372,800,000 and 0, Calculate (Find) All the Common Factors (All the Divisors) of the Two Numbers (and the Prime Factors)

The common factors (divisors) of the numbers 7,372,800,000 and 0

The common factors (divisors) of the numbers 7,372,800,000 and 0 are all the factors of their 'greatest (highest) common factor (divisor)', gcf.

Calculate the greatest (highest) common factor (divisor), gcf, hcf, gcd:

Zero is divisible by any number other than zero (there is no remainder when dividing zero by these numbers).

The greatest factor (divisor) of the number 7,372,800,000 is the number itself.


⇒ gcf, hcf, gcd (7,372,800,000; 0) = 7,372,800,000




To find all the factors (all the divisors) of the 'gcf', we need its prime factorization (to decompose it into prime factors).

The prime factorization of a number: finding the prime numbers that multiply together to make that number.


7,372,800,000 = 218 × 32 × 55
7,372,800,000 is not a prime number but a composite one.



* Prime number: a natural number that is divisible only by 1 and itself. A prime number has exactly two factors: 1 and itself.
* Composite number: a natural number that has at least one other factor than 1 and itself.



Multiply the prime factors of the 'gcf':

Multiply the prime factors involved in the prime factorization of the GCF in all their unique combinations, that give different results.


Also consider the exponents of the prime factors (example: 32 = 3 × 3 = 9).


Also add 1 to the list of factors (divisors). All the numbers are divisible by 1.


All the factors (divisors) are listed below - in ascending order

The list of factors (divisors):

neither prime nor composite = 1
prime factor = 2
prime factor = 3
22 = 4
prime factor = 5
2 × 3 = 6
23 = 8
32 = 9
2 × 5 = 10
22 × 3 = 12
3 × 5 = 15
24 = 16
2 × 32 = 18
22 × 5 = 20
23 × 3 = 24
52 = 25
2 × 3 × 5 = 30
25 = 32
22 × 32 = 36
23 × 5 = 40
32 × 5 = 45
24 × 3 = 48
2 × 52 = 50
22 × 3 × 5 = 60
26 = 64
23 × 32 = 72
3 × 52 = 75
24 × 5 = 80
2 × 32 × 5 = 90
25 × 3 = 96
22 × 52 = 100
23 × 3 × 5 = 120
53 = 125
27 = 128
24 × 32 = 144
2 × 3 × 52 = 150
25 × 5 = 160
22 × 32 × 5 = 180
26 × 3 = 192
23 × 52 = 200
32 × 52 = 225
24 × 3 × 5 = 240
2 × 53 = 250
28 = 256
25 × 32 = 288
22 × 3 × 52 = 300
26 × 5 = 320
23 × 32 × 5 = 360
3 × 53 = 375
27 × 3 = 384
24 × 52 = 400
2 × 32 × 52 = 450
25 × 3 × 5 = 480
22 × 53 = 500
29 = 512
26 × 32 = 576
23 × 3 × 52 = 600
54 = 625
27 × 5 = 640
24 × 32 × 5 = 720
2 × 3 × 53 = 750
28 × 3 = 768
25 × 52 = 800
22 × 32 × 52 = 900
26 × 3 × 5 = 960
23 × 53 = 1,000
210 = 1,024
32 × 53 = 1,125
27 × 32 = 1,152
24 × 3 × 52 = 1,200
2 × 54 = 1,250
28 × 5 = 1,280
25 × 32 × 5 = 1,440
22 × 3 × 53 = 1,500
29 × 3 = 1,536
26 × 52 = 1,600
23 × 32 × 52 = 1,800
3 × 54 = 1,875
27 × 3 × 5 = 1,920
24 × 53 = 2,000
211 = 2,048
2 × 32 × 53 = 2,250
28 × 32 = 2,304
25 × 3 × 52 = 2,400
22 × 54 = 2,500
29 × 5 = 2,560
26 × 32 × 5 = 2,880
23 × 3 × 53 = 3,000
210 × 3 = 3,072
55 = 3,125
27 × 52 = 3,200
24 × 32 × 52 = 3,600
2 × 3 × 54 = 3,750
28 × 3 × 5 = 3,840
25 × 53 = 4,000
212 = 4,096
22 × 32 × 53 = 4,500
29 × 32 = 4,608
26 × 3 × 52 = 4,800
23 × 54 = 5,000
210 × 5 = 5,120
32 × 54 = 5,625
27 × 32 × 5 = 5,760
24 × 3 × 53 = 6,000
211 × 3 = 6,144
2 × 55 = 6,250
28 × 52 = 6,400
25 × 32 × 52 = 7,200
22 × 3 × 54 = 7,500
29 × 3 × 5 = 7,680
26 × 53 = 8,000
213 = 8,192
23 × 32 × 53 = 9,000
210 × 32 = 9,216
3 × 55 = 9,375
27 × 3 × 52 = 9,600
24 × 54 = 10,000
211 × 5 = 10,240
2 × 32 × 54 = 11,250
28 × 32 × 5 = 11,520
25 × 3 × 53 = 12,000
212 × 3 = 12,288
22 × 55 = 12,500
29 × 52 = 12,800
26 × 32 × 52 = 14,400
23 × 3 × 54 = 15,000
210 × 3 × 5 = 15,360
27 × 53 = 16,000
214 = 16,384
24 × 32 × 53 = 18,000
211 × 32 = 18,432
2 × 3 × 55 = 18,750
28 × 3 × 52 = 19,200
25 × 54 = 20,000
212 × 5 = 20,480
22 × 32 × 54 = 22,500
29 × 32 × 5 = 23,040
26 × 3 × 53 = 24,000
213 × 3 = 24,576
23 × 55 = 25,000
210 × 52 = 25,600
32 × 55 = 28,125
27 × 32 × 52 = 28,800
24 × 3 × 54 = 30,000
211 × 3 × 5 = 30,720
28 × 53 = 32,000
215 = 32,768
25 × 32 × 53 = 36,000
212 × 32 = 36,864
22 × 3 × 55 = 37,500
29 × 3 × 52 = 38,400
26 × 54 = 40,000
213 × 5 = 40,960
23 × 32 × 54 = 45,000
210 × 32 × 5 = 46,080
27 × 3 × 53 = 48,000
214 × 3 = 49,152
24 × 55 = 50,000
211 × 52 = 51,200
2 × 32 × 55 = 56,250
28 × 32 × 52 = 57,600
25 × 3 × 54 = 60,000
212 × 3 × 5 = 61,440
29 × 53 = 64,000
216 = 65,536
26 × 32 × 53 = 72,000
213 × 32 = 73,728
23 × 3 × 55 = 75,000
210 × 3 × 52 = 76,800
27 × 54 = 80,000
214 × 5 = 81,920
This list continues below...

... This list continues from above
24 × 32 × 54 = 90,000
211 × 32 × 5 = 92,160
28 × 3 × 53 = 96,000
215 × 3 = 98,304
25 × 55 = 100,000
212 × 52 = 102,400
22 × 32 × 55 = 112,500
29 × 32 × 52 = 115,200
26 × 3 × 54 = 120,000
213 × 3 × 5 = 122,880
210 × 53 = 128,000
217 = 131,072
27 × 32 × 53 = 144,000
214 × 32 = 147,456
24 × 3 × 55 = 150,000
211 × 3 × 52 = 153,600
28 × 54 = 160,000
215 × 5 = 163,840
25 × 32 × 54 = 180,000
212 × 32 × 5 = 184,320
29 × 3 × 53 = 192,000
216 × 3 = 196,608
26 × 55 = 200,000
213 × 52 = 204,800
23 × 32 × 55 = 225,000
210 × 32 × 52 = 230,400
27 × 3 × 54 = 240,000
214 × 3 × 5 = 245,760
211 × 53 = 256,000
218 = 262,144
28 × 32 × 53 = 288,000
215 × 32 = 294,912
25 × 3 × 55 = 300,000
212 × 3 × 52 = 307,200
29 × 54 = 320,000
216 × 5 = 327,680
26 × 32 × 54 = 360,000
213 × 32 × 5 = 368,640
210 × 3 × 53 = 384,000
217 × 3 = 393,216
27 × 55 = 400,000
214 × 52 = 409,600
24 × 32 × 55 = 450,000
211 × 32 × 52 = 460,800
28 × 3 × 54 = 480,000
215 × 3 × 5 = 491,520
212 × 53 = 512,000
29 × 32 × 53 = 576,000
216 × 32 = 589,824
26 × 3 × 55 = 600,000
213 × 3 × 52 = 614,400
210 × 54 = 640,000
217 × 5 = 655,360
27 × 32 × 54 = 720,000
214 × 32 × 5 = 737,280
211 × 3 × 53 = 768,000
218 × 3 = 786,432
28 × 55 = 800,000
215 × 52 = 819,200
25 × 32 × 55 = 900,000
212 × 32 × 52 = 921,600
29 × 3 × 54 = 960,000
216 × 3 × 5 = 983,040
213 × 53 = 1,024,000
210 × 32 × 53 = 1,152,000
217 × 32 = 1,179,648
27 × 3 × 55 = 1,200,000
214 × 3 × 52 = 1,228,800
211 × 54 = 1,280,000
218 × 5 = 1,310,720
28 × 32 × 54 = 1,440,000
215 × 32 × 5 = 1,474,560
212 × 3 × 53 = 1,536,000
29 × 55 = 1,600,000
216 × 52 = 1,638,400
26 × 32 × 55 = 1,800,000
213 × 32 × 52 = 1,843,200
210 × 3 × 54 = 1,920,000
217 × 3 × 5 = 1,966,080
214 × 53 = 2,048,000
211 × 32 × 53 = 2,304,000
218 × 32 = 2,359,296
28 × 3 × 55 = 2,400,000
215 × 3 × 52 = 2,457,600
212 × 54 = 2,560,000
29 × 32 × 54 = 2,880,000
216 × 32 × 5 = 2,949,120
213 × 3 × 53 = 3,072,000
210 × 55 = 3,200,000
217 × 52 = 3,276,800
27 × 32 × 55 = 3,600,000
214 × 32 × 52 = 3,686,400
211 × 3 × 54 = 3,840,000
218 × 3 × 5 = 3,932,160
215 × 53 = 4,096,000
212 × 32 × 53 = 4,608,000
29 × 3 × 55 = 4,800,000
216 × 3 × 52 = 4,915,200
213 × 54 = 5,120,000
210 × 32 × 54 = 5,760,000
217 × 32 × 5 = 5,898,240
214 × 3 × 53 = 6,144,000
211 × 55 = 6,400,000
218 × 52 = 6,553,600
28 × 32 × 55 = 7,200,000
215 × 32 × 52 = 7,372,800
212 × 3 × 54 = 7,680,000
216 × 53 = 8,192,000
213 × 32 × 53 = 9,216,000
210 × 3 × 55 = 9,600,000
217 × 3 × 52 = 9,830,400
214 × 54 = 10,240,000
211 × 32 × 54 = 11,520,000
218 × 32 × 5 = 11,796,480
215 × 3 × 53 = 12,288,000
212 × 55 = 12,800,000
29 × 32 × 55 = 14,400,000
216 × 32 × 52 = 14,745,600
213 × 3 × 54 = 15,360,000
217 × 53 = 16,384,000
214 × 32 × 53 = 18,432,000
211 × 3 × 55 = 19,200,000
218 × 3 × 52 = 19,660,800
215 × 54 = 20,480,000
212 × 32 × 54 = 23,040,000
216 × 3 × 53 = 24,576,000
213 × 55 = 25,600,000
210 × 32 × 55 = 28,800,000
217 × 32 × 52 = 29,491,200
214 × 3 × 54 = 30,720,000
218 × 53 = 32,768,000
215 × 32 × 53 = 36,864,000
212 × 3 × 55 = 38,400,000
216 × 54 = 40,960,000
213 × 32 × 54 = 46,080,000
217 × 3 × 53 = 49,152,000
214 × 55 = 51,200,000
211 × 32 × 55 = 57,600,000
218 × 32 × 52 = 58,982,400
215 × 3 × 54 = 61,440,000
216 × 32 × 53 = 73,728,000
213 × 3 × 55 = 76,800,000
217 × 54 = 81,920,000
214 × 32 × 54 = 92,160,000
218 × 3 × 53 = 98,304,000
215 × 55 = 102,400,000
212 × 32 × 55 = 115,200,000
216 × 3 × 54 = 122,880,000
217 × 32 × 53 = 147,456,000
214 × 3 × 55 = 153,600,000
218 × 54 = 163,840,000
215 × 32 × 54 = 184,320,000
216 × 55 = 204,800,000
213 × 32 × 55 = 230,400,000
217 × 3 × 54 = 245,760,000
218 × 32 × 53 = 294,912,000
215 × 3 × 55 = 307,200,000
216 × 32 × 54 = 368,640,000
217 × 55 = 409,600,000
214 × 32 × 55 = 460,800,000
218 × 3 × 54 = 491,520,000
216 × 3 × 55 = 614,400,000
217 × 32 × 54 = 737,280,000
218 × 55 = 819,200,000
215 × 32 × 55 = 921,600,000
217 × 3 × 55 = 1,228,800,000
218 × 32 × 54 = 1,474,560,000
216 × 32 × 55 = 1,843,200,000
218 × 3 × 55 = 2,457,600,000
217 × 32 × 55 = 3,686,400,000
218 × 32 × 55 = 7,372,800,000

7,372,800,000 and 0 have 342 common factors (divisors):
1; 2; 3; 4; 5; 6; 8; 9; 10; 12; 15; 16; 18; 20; 24; 25; 30; 32; 36; 40; 45; 48; 50; 60; 64; 72; 75; 80; 90; 96; 100; 120; 125; 128; 144; 150; 160; 180; 192; 200; 225; 240; 250; 256; 288; 300; 320; 360; 375; 384; 400; 450; 480; 500; 512; 576; 600; 625; 640; 720; 750; 768; 800; 900; 960; 1,000; 1,024; 1,125; 1,152; 1,200; 1,250; 1,280; 1,440; 1,500; 1,536; 1,600; 1,800; 1,875; 1,920; 2,000; 2,048; 2,250; 2,304; 2,400; 2,500; 2,560; 2,880; 3,000; 3,072; 3,125; 3,200; 3,600; 3,750; 3,840; 4,000; 4,096; 4,500; 4,608; 4,800; 5,000; 5,120; 5,625; 5,760; 6,000; 6,144; 6,250; 6,400; 7,200; 7,500; 7,680; 8,000; 8,192; 9,000; 9,216; 9,375; 9,600; 10,000; 10,240; 11,250; 11,520; 12,000; 12,288; 12,500; 12,800; 14,400; 15,000; 15,360; 16,000; 16,384; 18,000; 18,432; 18,750; 19,200; 20,000; 20,480; 22,500; 23,040; 24,000; 24,576; 25,000; 25,600; 28,125; 28,800; 30,000; 30,720; 32,000; 32,768; 36,000; 36,864; 37,500; 38,400; 40,000; 40,960; 45,000; 46,080; 48,000; 49,152; 50,000; 51,200; 56,250; 57,600; 60,000; 61,440; 64,000; 65,536; 72,000; 73,728; 75,000; 76,800; 80,000; 81,920; 90,000; 92,160; 96,000; 98,304; 100,000; 102,400; 112,500; 115,200; 120,000; 122,880; 128,000; 131,072; 144,000; 147,456; 150,000; 153,600; 160,000; 163,840; 180,000; 184,320; 192,000; 196,608; 200,000; 204,800; 225,000; 230,400; 240,000; 245,760; 256,000; 262,144; 288,000; 294,912; 300,000; 307,200; 320,000; 327,680; 360,000; 368,640; 384,000; 393,216; 400,000; 409,600; 450,000; 460,800; 480,000; 491,520; 512,000; 576,000; 589,824; 600,000; 614,400; 640,000; 655,360; 720,000; 737,280; 768,000; 786,432; 800,000; 819,200; 900,000; 921,600; 960,000; 983,040; 1,024,000; 1,152,000; 1,179,648; 1,200,000; 1,228,800; 1,280,000; 1,310,720; 1,440,000; 1,474,560; 1,536,000; 1,600,000; 1,638,400; 1,800,000; 1,843,200; 1,920,000; 1,966,080; 2,048,000; 2,304,000; 2,359,296; 2,400,000; 2,457,600; 2,560,000; 2,880,000; 2,949,120; 3,072,000; 3,200,000; 3,276,800; 3,600,000; 3,686,400; 3,840,000; 3,932,160; 4,096,000; 4,608,000; 4,800,000; 4,915,200; 5,120,000; 5,760,000; 5,898,240; 6,144,000; 6,400,000; 6,553,600; 7,200,000; 7,372,800; 7,680,000; 8,192,000; 9,216,000; 9,600,000; 9,830,400; 10,240,000; 11,520,000; 11,796,480; 12,288,000; 12,800,000; 14,400,000; 14,745,600; 15,360,000; 16,384,000; 18,432,000; 19,200,000; 19,660,800; 20,480,000; 23,040,000; 24,576,000; 25,600,000; 28,800,000; 29,491,200; 30,720,000; 32,768,000; 36,864,000; 38,400,000; 40,960,000; 46,080,000; 49,152,000; 51,200,000; 57,600,000; 58,982,400; 61,440,000; 73,728,000; 76,800,000; 81,920,000; 92,160,000; 98,304,000; 102,400,000; 115,200,000; 122,880,000; 147,456,000; 153,600,000; 163,840,000; 184,320,000; 204,800,000; 230,400,000; 245,760,000; 294,912,000; 307,200,000; 368,640,000; 409,600,000; 460,800,000; 491,520,000; 614,400,000; 737,280,000; 819,200,000; 921,600,000; 1,228,800,000; 1,474,560,000; 1,843,200,000; 2,457,600,000; 3,686,400,000 and 7,372,800,000
out of which 3 prime factors: 2; 3 and 5

Calculate all the divisors (factors) of the given numbers

How to calculate (find) all the factors (divisors) of a number:

Break down the number into prime factors. Then multiply its prime factors in all their unique combinations, that give different results.

To calculate the common factors of two numbers:

The common factors (divisors) of two numbers are all the factors of the greatest common factor, gcf.

Calculate the greatest (highest) common factor (divisor) of the two numbers, gcf (hcf, gcd).

Break down the GCF into prime factors. Then multiply its prime factors in all their unique combinations, that give different results.

The latest 10 sets of calculated factors (divisors): of one number or the common factors of two numbers

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The list of all the calculated factors (divisors) of one or two numbers

Factors (divisors), common factors (common divisors), the greatest common factor, GCF (also called the greatest common divisor, GCD, or the highest common factor, HCF)

  • If the number "t" is a factor (divisor) of the number "a" then in the prime factorization of "t" we will only encounter prime factors that also occur in the prime factorization of "a".
  • If there are exponents involved, the maximum value of an exponent for any base of a power that is found in the prime factorization of "t" (powers, or multiplicities) is at most equal to the exponent of the same base that is involved in the prime factorization of "a".
  • Hint: 23 = 2 × 2 × 2 = 8. 2 is called the base and 3 is the exponent. 23 is the power and 8 is the value of the power. We sometimes say that the number 2 is raised to the power of 3.
  • For example, 12 is a factor (divisor) of 120 - the remainder is zero when dividing 120 by 12.
  • Let's look at the prime factorization of both numbers and notice the bases and the exponents that occur in the prime factorization of both numbers:
  • 12 = 2 × 2 × 3 = 22 × 3
  • 120 = 2 × 2 × 2 × 3 × 5 = 23 × 3 × 5
  • 120 contains all the prime factors of 12, and all its bases' exponents are higher than those of 12.
  • If "t" is a common factor (divisor) of "a" and "b", then the prime factorization of "t" contains only the common prime factors involved in the prime factorizations of both "a" and "b".
  • If there are exponents involved, the maximum value of an exponent for any base of a power that is found in the prime factorization of "t" is at most equal to the minimum of the exponents of the same base that is involved in the prime factorization of both "a" and "b".
  • For example, 12 is the common factor of 48 and 360.
  • The remainder is zero when dividing either 48 or 360 by 12.
  • Here there are the prime factorizations of the three numbers, 12, 48 and 360:
  • 12 = 22 × 3
  • 48 = 24 × 3
  • 360 = 23 × 32 × 5
  • Please note that 48 and 360 have more factors (divisors): 2, 3, 4, 6, 8, 12, 24. Among them, 24 is the greatest common factor, GCF (or the greatest common divisor, GCD, or the highest common factor, HCF) of 48 and 360.
  • The greatest common factor, GCF, of two numbers, "a" and "b", is the product of all the common prime factors involved in the prime factorizations of both "a" and "b", taken by the lowest exponents.
  • Based on this rule it is calculated the greatest common factor, GCF, (or the greatest common divisor GCD, HCF) of several numbers, as shown in the example below...
  • GCF, GCD (1,260; 3,024; 5,544) = ?
  • 1,260 = 22 × 32
  • 3,024 = 24 × 32 × 7
  • 5,544 = 23 × 32 × 7 × 11
  • The common prime factors are:
  • 2 - its lowest exponent (multiplicity) is: min.(2; 3; 4) = 2
  • 3 - its lowest exponent (multiplicity) is: min.(2; 2; 2) = 2
  • GCF, GCD (1,260; 3,024; 5,544) = 22 × 32 = 252
  • Coprime numbers:
  • If two numbers "a" and "b" have no other common factors (divisors) than 1, gfc, gcd, hcf (a; b) = 1, then the numbers "a" and "b" are called coprime (or relatively prime).
  • Factors of the GCF
  • If "a" and "b" are not coprime, then every common factor (divisor) of "a" and "b" is a also a factor (divisor) of the greatest common factor, GCF (greatest common divisor, GCD, highest common factor, HCF) of "a" and "b".