What is the Greatest Common Factor of 57972 and 57992?

Greatest common factor (GCF) of 57972 and 57992 is 4.

GCF(57972,57992) = 4

We will now calculate the prime factors of 57972 and 57992, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57972 and 57992.

How to find the GCF of 57972 and 57992?

We will first find the prime factorization of 57972 and 57992. After we will calculate the factors of 57972 and 57992 and find the biggest common factor number .

Step-1: Prime Factorization of 57972

Prime factors of 57972 are 2, 3, 4831. Prime factorization of 57972 in exponential form is:

57972 = 2² × 3¹ × 4831¹

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 57972

List of positive integer factors of 57972 that divides 57972 without a remainder.

1, 2, 3, 4, 6, 12, 4831, 9662, 14493, 19324, 28986

Step-4: Factors of 57992

List of positive integer factors of 57992 that divides 57972 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 57972 and 57992. The biggest common factor number is the GCF number.
So the greatest common factor 57972 and 57992 is 4.

Also check out the Least Common Multiple of 57972 and 57992