What is the Greatest Common Factor of 32592 and 32604?

Greatest common factor (GCF) of 32592 and 32604 is 12.

GCF(32592,32604) = 12

We will now calculate the prime factors of 32592 and 32604, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32592 and 32604.

How to find the GCF of 32592 and 32604?

We will first find the prime factorization of 32592 and 32604. After we will calculate the factors of 32592 and 32604 and find the biggest common factor number .

Step-1: Prime Factorization of 32592

Prime factors of 32592 are 2, 3, 7, 97. Prime factorization of 32592 in exponential form is:

32592 = 2⁴ × 3¹ × 7¹ × 97¹

Step-2: Prime Factorization of 32604

Prime factors of 32604 are 2, 3, 11, 13, 19. Prime factorization of 32604 in exponential form is:

32604 = 2² × 3¹ × 11¹ × 13¹ × 19¹

Step-3: Factors of 32592

List of positive integer factors of 32592 that divides 32592 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 97, 112, 168, 194, 291, 336, 388, 582, 679, 776, 1164, 1358, 1552, 2037, 2328, 2716, 4074, 4656, 5432, 8148, 10864, 16296

Step-4: Factors of 32604

List of positive integer factors of 32604 that divides 32592 without a remainder.

1, 2, 3, 4, 6, 11, 12, 13, 19, 22, 26, 33, 38, 39, 44, 52, 57, 66, 76, 78, 114, 132, 143, 156, 209, 228, 247, 286, 418, 429, 494, 572, 627, 741, 836, 858, 988, 1254, 1482, 1716, 2508, 2717, 2964, 5434, 8151, 10868, 16302

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32592 and 32604. The biggest common factor number is the GCF number.
So the greatest common factor 32592 and 32604 is 12.

Also check out the Least Common Multiple of 32592 and 32604