Given the Numbers 13,230,000 and 52,920,000, Calculate (Find) All the Common Factors (All the Divisors) of the Two Numbers (and the Prime Factors)

The common factors (divisors) of the numbers 13,230,000 and 52,920,000

The common factors (divisors) of the numbers 13,230,000 and 52,920,000 are all the factors of their 'greatest (highest) common factor (divisor)', gcf.

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

Divide the larger number by the smaller one.

Please note that when the numbers are divided, the remainder is zero:

52,920,000 ÷ 13,230,000 = 4 + 0

⇒ 52,920,000 = 13,230,000 × 4

⇒ So, 52,920,000 is divisible by 13,230,000.

⇒ 13,230,000 is a factor (divisor) of 52,920,000.

The greatest (highest) common factor (divisor):
gcf, hcf, gcd (13,230,000; 52,920,000) = 13,230,000

» Online calculator. Calculate the greatest (highest) common factor (divisor)



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.

13,230,000 = 24 × 33 × 54 × 72
13,230,000 is not a prime number but a composite one.

» Online calculator. Check whether a number is prime or not. The prime factorization of composite numbers

* 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
prime factor = 7
23 = 8
32 = 9
2 × 5 = 10
22 × 3 = 12
2 × 7 = 14
3 × 5 = 15
24 = 16
2 × 32 = 18
22 × 5 = 20
3 × 7 = 21
23 × 3 = 24
52 = 25
33 = 27
22 × 7 = 28
2 × 3 × 5 = 30
5 × 7 = 35
22 × 32 = 36
23 × 5 = 40
2 × 3 × 7 = 42
32 × 5 = 45
24 × 3 = 48
72 = 49
2 × 52 = 50
2 × 33 = 54
23 × 7 = 56
22 × 3 × 5 = 60
32 × 7 = 63
2 × 5 × 7 = 70
23 × 32 = 72
3 × 52 = 75
24 × 5 = 80
22 × 3 × 7 = 84
2 × 32 × 5 = 90
2 × 72 = 98
22 × 52 = 100
3 × 5 × 7 = 105
22 × 33 = 108
24 × 7 = 112
23 × 3 × 5 = 120
53 = 125
2 × 32 × 7 = 126
33 × 5 = 135
22 × 5 × 7 = 140
24 × 32 = 144
3 × 72 = 147
2 × 3 × 52 = 150
23 × 3 × 7 = 168
52 × 7 = 175
22 × 32 × 5 = 180
33 × 7 = 189
22 × 72 = 196
23 × 52 = 200
2 × 3 × 5 × 7 = 210
23 × 33 = 216
32 × 52 = 225
24 × 3 × 5 = 240
5 × 72 = 245
2 × 53 = 250
22 × 32 × 7 = 252
2 × 33 × 5 = 270
23 × 5 × 7 = 280
2 × 3 × 72 = 294
22 × 3 × 52 = 300
32 × 5 × 7 = 315
24 × 3 × 7 = 336
2 × 52 × 7 = 350
23 × 32 × 5 = 360
3 × 53 = 375
2 × 33 × 7 = 378
23 × 72 = 392
24 × 52 = 400
22 × 3 × 5 × 7 = 420
24 × 33 = 432
32 × 72 = 441
2 × 32 × 52 = 450
2 × 5 × 72 = 490
22 × 53 = 500
23 × 32 × 7 = 504
3 × 52 × 7 = 525
22 × 33 × 5 = 540
24 × 5 × 7 = 560
22 × 3 × 72 = 588
23 × 3 × 52 = 600
54 = 625
2 × 32 × 5 × 7 = 630
33 × 52 = 675
22 × 52 × 7 = 700
24 × 32 × 5 = 720
3 × 5 × 72 = 735
2 × 3 × 53 = 750
22 × 33 × 7 = 756
24 × 72 = 784
23 × 3 × 5 × 7 = 840
53 × 7 = 875
2 × 32 × 72 = 882
22 × 32 × 52 = 900
33 × 5 × 7 = 945
22 × 5 × 72 = 980
23 × 53 = 1,000
24 × 32 × 7 = 1,008
2 × 3 × 52 × 7 = 1,050
23 × 33 × 5 = 1,080
32 × 53 = 1,125
23 × 3 × 72 = 1,176
24 × 3 × 52 = 1,200
52 × 72 = 1,225
2 × 54 = 1,250
22 × 32 × 5 × 7 = 1,260
33 × 72 = 1,323
2 × 33 × 52 = 1,350
23 × 52 × 7 = 1,400
2 × 3 × 5 × 72 = 1,470
22 × 3 × 53 = 1,500
23 × 33 × 7 = 1,512
32 × 52 × 7 = 1,575
24 × 3 × 5 × 7 = 1,680
2 × 53 × 7 = 1,750
22 × 32 × 72 = 1,764
23 × 32 × 52 = 1,800
3 × 54 = 1,875
2 × 33 × 5 × 7 = 1,890
23 × 5 × 72 = 1,960
24 × 53 = 2,000
22 × 3 × 52 × 7 = 2,100
24 × 33 × 5 = 2,160
32 × 5 × 72 = 2,205
2 × 32 × 53 = 2,250
24 × 3 × 72 = 2,352
2 × 52 × 72 = 2,450
22 × 54 = 2,500
23 × 32 × 5 × 7 = 2,520
3 × 53 × 7 = 2,625
2 × 33 × 72 = 2,646
22 × 33 × 52 = 2,700
24 × 52 × 7 = 2,800
22 × 3 × 5 × 72 = 2,940
23 × 3 × 53 = 3,000
24 × 33 × 7 = 3,024
2 × 32 × 52 × 7 = 3,150
33 × 53 = 3,375
22 × 53 × 7 = 3,500
23 × 32 × 72 = 3,528
24 × 32 × 52 = 3,600
This list continues below...

... This list continues from above
3 × 52 × 72 = 3,675
2 × 3 × 54 = 3,750
22 × 33 × 5 × 7 = 3,780
24 × 5 × 72 = 3,920
23 × 3 × 52 × 7 = 4,200
54 × 7 = 4,375
2 × 32 × 5 × 72 = 4,410
22 × 32 × 53 = 4,500
33 × 52 × 7 = 4,725
22 × 52 × 72 = 4,900
23 × 54 = 5,000
24 × 32 × 5 × 7 = 5,040
2 × 3 × 53 × 7 = 5,250
22 × 33 × 72 = 5,292
23 × 33 × 52 = 5,400
32 × 54 = 5,625
23 × 3 × 5 × 72 = 5,880
24 × 3 × 53 = 6,000
53 × 72 = 6,125
22 × 32 × 52 × 7 = 6,300
33 × 5 × 72 = 6,615
2 × 33 × 53 = 6,750
23 × 53 × 7 = 7,000
24 × 32 × 72 = 7,056
2 × 3 × 52 × 72 = 7,350
22 × 3 × 54 = 7,500
23 × 33 × 5 × 7 = 7,560
32 × 53 × 7 = 7,875
24 × 3 × 52 × 7 = 8,400
2 × 54 × 7 = 8,750
22 × 32 × 5 × 72 = 8,820
23 × 32 × 53 = 9,000
2 × 33 × 52 × 7 = 9,450
23 × 52 × 72 = 9,800
24 × 54 = 10,000
22 × 3 × 53 × 7 = 10,500
23 × 33 × 72 = 10,584
24 × 33 × 52 = 10,800
32 × 52 × 72 = 11,025
2 × 32 × 54 = 11,250
24 × 3 × 5 × 72 = 11,760
2 × 53 × 72 = 12,250
23 × 32 × 52 × 7 = 12,600
3 × 54 × 7 = 13,125
2 × 33 × 5 × 72 = 13,230
22 × 33 × 53 = 13,500
24 × 53 × 7 = 14,000
22 × 3 × 52 × 72 = 14,700
23 × 3 × 54 = 15,000
24 × 33 × 5 × 7 = 15,120
2 × 32 × 53 × 7 = 15,750
33 × 54 = 16,875
22 × 54 × 7 = 17,500
23 × 32 × 5 × 72 = 17,640
24 × 32 × 53 = 18,000
3 × 53 × 72 = 18,375
22 × 33 × 52 × 7 = 18,900
24 × 52 × 72 = 19,600
23 × 3 × 53 × 7 = 21,000
24 × 33 × 72 = 21,168
2 × 32 × 52 × 72 = 22,050
22 × 32 × 54 = 22,500
33 × 53 × 7 = 23,625
22 × 53 × 72 = 24,500
24 × 32 × 52 × 7 = 25,200
2 × 3 × 54 × 7 = 26,250
22 × 33 × 5 × 72 = 26,460
23 × 33 × 53 = 27,000
23 × 3 × 52 × 72 = 29,400
24 × 3 × 54 = 30,000
54 × 72 = 30,625
22 × 32 × 53 × 7 = 31,500
33 × 52 × 72 = 33,075
2 × 33 × 54 = 33,750
23 × 54 × 7 = 35,000
24 × 32 × 5 × 72 = 35,280
2 × 3 × 53 × 72 = 36,750
23 × 33 × 52 × 7 = 37,800
32 × 54 × 7 = 39,375
24 × 3 × 53 × 7 = 42,000
22 × 32 × 52 × 72 = 44,100
23 × 32 × 54 = 45,000
2 × 33 × 53 × 7 = 47,250
23 × 53 × 72 = 49,000
22 × 3 × 54 × 7 = 52,500
23 × 33 × 5 × 72 = 52,920
24 × 33 × 53 = 54,000
32 × 53 × 72 = 55,125
24 × 3 × 52 × 72 = 58,800
2 × 54 × 72 = 61,250
23 × 32 × 53 × 7 = 63,000
2 × 33 × 52 × 72 = 66,150
22 × 33 × 54 = 67,500
24 × 54 × 7 = 70,000
22 × 3 × 53 × 72 = 73,500
24 × 33 × 52 × 7 = 75,600
2 × 32 × 54 × 7 = 78,750
23 × 32 × 52 × 72 = 88,200
24 × 32 × 54 = 90,000
3 × 54 × 72 = 91,875
22 × 33 × 53 × 7 = 94,500
24 × 53 × 72 = 98,000
23 × 3 × 54 × 7 = 105,000
24 × 33 × 5 × 72 = 105,840
2 × 32 × 53 × 72 = 110,250
33 × 54 × 7 = 118,125
22 × 54 × 72 = 122,500
24 × 32 × 53 × 7 = 126,000
22 × 33 × 52 × 72 = 132,300
23 × 33 × 54 = 135,000
23 × 3 × 53 × 72 = 147,000
22 × 32 × 54 × 7 = 157,500
33 × 53 × 72 = 165,375
24 × 32 × 52 × 72 = 176,400
2 × 3 × 54 × 72 = 183,750
23 × 33 × 53 × 7 = 189,000
24 × 3 × 54 × 7 = 210,000
22 × 32 × 53 × 72 = 220,500
2 × 33 × 54 × 7 = 236,250
23 × 54 × 72 = 245,000
23 × 33 × 52 × 72 = 264,600
24 × 33 × 54 = 270,000
32 × 54 × 72 = 275,625
24 × 3 × 53 × 72 = 294,000
23 × 32 × 54 × 7 = 315,000
2 × 33 × 53 × 72 = 330,750
22 × 3 × 54 × 72 = 367,500
24 × 33 × 53 × 7 = 378,000
23 × 32 × 53 × 72 = 441,000
22 × 33 × 54 × 7 = 472,500
24 × 54 × 72 = 490,000
24 × 33 × 52 × 72 = 529,200
2 × 32 × 54 × 72 = 551,250
24 × 32 × 54 × 7 = 630,000
22 × 33 × 53 × 72 = 661,500
23 × 3 × 54 × 72 = 735,000
33 × 54 × 72 = 826,875
24 × 32 × 53 × 72 = 882,000
23 × 33 × 54 × 7 = 945,000
22 × 32 × 54 × 72 = 1,102,500
23 × 33 × 53 × 72 = 1,323,000
24 × 3 × 54 × 72 = 1,470,000
2 × 33 × 54 × 72 = 1,653,750
24 × 33 × 54 × 7 = 1,890,000
23 × 32 × 54 × 72 = 2,205,000
24 × 33 × 53 × 72 = 2,646,000
22 × 33 × 54 × 72 = 3,307,500
24 × 32 × 54 × 72 = 4,410,000
23 × 33 × 54 × 72 = 6,615,000
24 × 33 × 54 × 72 = 13,230,000

13,230,000 and 52,920,000 have 300 common factors (divisors):
1; 2; 3; 4; 5; 6; 7; 8; 9; 10; 12; 14; 15; 16; 18; 20; 21; 24; 25; 27; 28; 30; 35; 36; 40; 42; 45; 48; 49; 50; 54; 56; 60; 63; 70; 72; 75; 80; 84; 90; 98; 100; 105; 108; 112; 120; 125; 126; 135; 140; 144; 147; 150; 168; 175; 180; 189; 196; 200; 210; 216; 225; 240; 245; 250; 252; 270; 280; 294; 300; 315; 336; 350; 360; 375; 378; 392; 400; 420; 432; 441; 450; 490; 500; 504; 525; 540; 560; 588; 600; 625; 630; 675; 700; 720; 735; 750; 756; 784; 840; 875; 882; 900; 945; 980; 1,000; 1,008; 1,050; 1,080; 1,125; 1,176; 1,200; 1,225; 1,250; 1,260; 1,323; 1,350; 1,400; 1,470; 1,500; 1,512; 1,575; 1,680; 1,750; 1,764; 1,800; 1,875; 1,890; 1,960; 2,000; 2,100; 2,160; 2,205; 2,250; 2,352; 2,450; 2,500; 2,520; 2,625; 2,646; 2,700; 2,800; 2,940; 3,000; 3,024; 3,150; 3,375; 3,500; 3,528; 3,600; 3,675; 3,750; 3,780; 3,920; 4,200; 4,375; 4,410; 4,500; 4,725; 4,900; 5,000; 5,040; 5,250; 5,292; 5,400; 5,625; 5,880; 6,000; 6,125; 6,300; 6,615; 6,750; 7,000; 7,056; 7,350; 7,500; 7,560; 7,875; 8,400; 8,750; 8,820; 9,000; 9,450; 9,800; 10,000; 10,500; 10,584; 10,800; 11,025; 11,250; 11,760; 12,250; 12,600; 13,125; 13,230; 13,500; 14,000; 14,700; 15,000; 15,120; 15,750; 16,875; 17,500; 17,640; 18,000; 18,375; 18,900; 19,600; 21,000; 21,168; 22,050; 22,500; 23,625; 24,500; 25,200; 26,250; 26,460; 27,000; 29,400; 30,000; 30,625; 31,500; 33,075; 33,750; 35,000; 35,280; 36,750; 37,800; 39,375; 42,000; 44,100; 45,000; 47,250; 49,000; 52,500; 52,920; 54,000; 55,125; 58,800; 61,250; 63,000; 66,150; 67,500; 70,000; 73,500; 75,600; 78,750; 88,200; 90,000; 91,875; 94,500; 98,000; 105,000; 105,840; 110,250; 118,125; 122,500; 126,000; 132,300; 135,000; 147,000; 157,500; 165,375; 176,400; 183,750; 189,000; 210,000; 220,500; 236,250; 245,000; 264,600; 270,000; 275,625; 294,000; 315,000; 330,750; 367,500; 378,000; 441,000; 472,500; 490,000; 529,200; 551,250; 630,000; 661,500; 735,000; 826,875; 882,000; 945,000; 1,102,500; 1,323,000; 1,470,000; 1,653,750; 1,890,000; 2,205,000; 2,646,000; 3,307,500; 4,410,000; 6,615,000 and 13,230,000
out of which 4 prime factors: 2; 3; 5 and 7

Other similar operations of calculating common factors:

» What are all the common factors (divisors and prime factors) of the numbers 13,229,993 and 52,919,998?

» What are all the common factors (divisors and prime factors) of the numbers 13,230,011 and 52,920,001?


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.

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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".