What is the Greatest Common Factor of 57396 and 57408?

Greatest common factor (GCF) of 57396 and 57408 is 12.

GCF(57396,57408) = 12

We will now calculate the prime factors of 57396 and 57408, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57396 and 57408.

How to find the GCF of 57396 and 57408?

We will first find the prime factorization of 57396 and 57408. After we will calculate the factors of 57396 and 57408 and find the biggest common factor number .

Step-1: Prime Factorization of 57396

Prime factors of 57396 are 2, 3, 4783. Prime factorization of 57396 in exponential form is:

57396 = 2² × 3¹ × 4783¹

Step-2: Prime Factorization of 57408

Prime factors of 57408 are 2, 3, 13, 23. Prime factorization of 57408 in exponential form is:

57408 = 2⁶ × 3¹ × 13¹ × 23¹

Step-3: Factors of 57396

List of positive integer factors of 57396 that divides 57396 without a remainder.

1, 2, 3, 4, 6, 12, 4783, 9566, 14349, 19132, 28698

Step-4: Factors of 57408

List of positive integer factors of 57408 that divides 57396 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 23, 24, 26, 32, 39, 46, 48, 52, 64, 69, 78, 92, 96, 104, 138, 156, 184, 192, 208, 276, 299, 312, 368, 416, 552, 598, 624, 736, 832, 897, 1104, 1196, 1248, 1472, 1794, 2208, 2392, 2496, 3588, 4416, 4784, 7176, 9568, 14352, 19136, 28704

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57396 and 57408. The biggest common factor number is the GCF number.
So the greatest common factor 57396 and 57408 is 12.

Also check out the Least Common Multiple of 57396 and 57408