What is the Greatest Common Factor of 57976 and 57992?

Greatest common factor (GCF) of 57976 and 57992 is 8.

GCF(57976,57992) = 8

We will now calculate the prime factors of 57976 and 57992, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57976 and 57992.

How to find the GCF of 57976 and 57992?

We will first find the prime factorization of 57976 and 57992. After we will calculate the factors of 57976 and 57992 and find the biggest common factor number .

Step-1: Prime Factorization of 57976

Prime factors of 57976 are 2, 7247. Prime factorization of 57976 in exponential form is:

57976 = 2³ × 7247¹

Step-2: Prime Factorization of 57992

Prime factors of 57992 are 2, 11, 659. Prime factorization of 57992 in exponential form is:

57992 = 2³ × 11¹ × 659¹

Step-3: Factors of 57976

List of positive integer factors of 57976 that divides 57976 without a remainder.

1, 2, 4, 8, 7247, 14494, 28988

Step-4: Factors of 57992

List of positive integer factors of 57992 that divides 57976 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 659, 1318, 2636, 5272, 7249, 14498, 28996

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57976 and 57992. The biggest common factor number is the GCF number.
So the greatest common factor 57976 and 57992 is 8.

Also check out the Least Common Multiple of 57976 and 57992