What is the Greatest Common Factor of 57696 and 57708?

Greatest common factor (GCF) of 57696 and 57708 is 12.

GCF(57696,57708) = 12

We will now calculate the prime factors of 57696 and 57708, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57696 and 57708.

How to find the GCF of 57696 and 57708?

We will first find the prime factorization of 57696 and 57708. After we will calculate the factors of 57696 and 57708 and find the biggest common factor number .

Step-1: Prime Factorization of 57696

Prime factors of 57696 are 2, 3, 601. Prime factorization of 57696 in exponential form is:

57696 = 2⁵ × 3¹ × 601¹

Step-2: Prime Factorization of 57708

Prime factors of 57708 are 2, 3, 7, 229. Prime factorization of 57708 in exponential form is:

57708 = 2² × 3² × 7¹ × 229¹

Step-3: Factors of 57696

List of positive integer factors of 57696 that divides 57696 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 601, 1202, 1803, 2404, 3606, 4808, 7212, 9616, 14424, 19232, 28848

Step-4: Factors of 57708

List of positive integer factors of 57708 that divides 57696 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 229, 252, 458, 687, 916, 1374, 1603, 2061, 2748, 3206, 4122, 4809, 6412, 8244, 9618, 14427, 19236, 28854

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57696 and 57708. The biggest common factor number is the GCF number.
So the greatest common factor 57696 and 57708 is 12.

Also check out the Least Common Multiple of 57696 and 57708