What is the Greatest Common Factor of 57116 and 57124?

Greatest common factor (GCF) of 57116 and 57124 is 4.

GCF(57116,57124) = 4

We will now calculate the prime factors of 57116 and 57124, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57116 and 57124.

How to find the GCF of 57116 and 57124?

We will first find the prime factorization of 57116 and 57124. After we will calculate the factors of 57116 and 57124 and find the biggest common factor number .

Step-1: Prime Factorization of 57116

Prime factors of 57116 are 2, 109, 131. Prime factorization of 57116 in exponential form is:

57116 = 2² × 109¹ × 131¹

Step-2: Prime Factorization of 57124

Prime factors of 57124 are 2, 14281. Prime factorization of 57124 in exponential form is:

57124 = 2² × 14281¹

Step-3: Factors of 57116

List of positive integer factors of 57116 that divides 57116 without a remainder.

1, 2, 4, 109, 131, 218, 262, 436, 524, 14279, 28558

Step-4: Factors of 57124

List of positive integer factors of 57124 that divides 57116 without a remainder.

1, 2, 4, 14281, 28562

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57116 and 57124. The biggest common factor number is the GCF number.
So the greatest common factor 57116 and 57124 is 4.

Also check out the Least Common Multiple of 57116 and 57124