What is the Greatest Common Factor of 57796 and 57812?

Greatest common factor (GCF) of 57796 and 57812 is 4.

GCF(57796,57812) = 4

We will now calculate the prime factors of 57796 and 57812, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57796 and 57812.

How to find the GCF of 57796 and 57812?

We will first find the prime factorization of 57796 and 57812. After we will calculate the factors of 57796 and 57812 and find the biggest common factor number .

Step-1: Prime Factorization of 57796

Prime factors of 57796 are 2, 14449. Prime factorization of 57796 in exponential form is:

57796 = 2² × 14449¹

Step-2: Prime Factorization of 57812

Prime factors of 57812 are 2, 97, 149. Prime factorization of 57812 in exponential form is:

57812 = 2² × 97¹ × 149¹

Step-3: Factors of 57796

List of positive integer factors of 57796 that divides 57796 without a remainder.

1, 2, 4, 14449, 28898

Step-4: Factors of 57812

List of positive integer factors of 57812 that divides 57796 without a remainder.

1, 2, 4, 97, 149, 194, 298, 388, 596, 14453, 28906

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57796 and 57812. The biggest common factor number is the GCF number.
So the greatest common factor 57796 and 57812 is 4.

Also check out the Least Common Multiple of 57796 and 57812