What is the Greatest Common Factor of 57496 and 57512?

Greatest common factor (GCF) of 57496 and 57512 is 8.

GCF(57496,57512) = 8

We will now calculate the prime factors of 57496 and 57512, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57496 and 57512.

How to find the GCF of 57496 and 57512?

We will first find the prime factorization of 57496 and 57512. After we will calculate the factors of 57496 and 57512 and find the biggest common factor number .

Step-1: Prime Factorization of 57496

Prime factors of 57496 are 2, 7187. Prime factorization of 57496 in exponential form is:

57496 = 2³ × 7187¹

Step-2: Prime Factorization of 57512

Prime factors of 57512 are 2, 7, 13, 79. Prime factorization of 57512 in exponential form is:

57512 = 2³ × 7¹ × 13¹ × 79¹

Step-3: Factors of 57496

List of positive integer factors of 57496 that divides 57496 without a remainder.

1, 2, 4, 8, 7187, 14374, 28748

Step-4: Factors of 57512

List of positive integer factors of 57512 that divides 57496 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 79, 91, 104, 158, 182, 316, 364, 553, 632, 728, 1027, 1106, 2054, 2212, 4108, 4424, 7189, 8216, 14378, 28756

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57496 and 57512. The biggest common factor number is the GCF number.
So the greatest common factor 57496 and 57512 is 8.

Also check out the Least Common Multiple of 57496 and 57512