What is the Greatest Common Factor of 57116 and 57136?

Greatest common factor (GCF) of 57116 and 57136 is 4.

GCF(57116,57136) = 4

We will now calculate the prime factors of 57116 and 57136, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57116 and 57136.

How to find the GCF of 57116 and 57136?

We will first find the prime factorization of 57116 and 57136. After we will calculate the factors of 57116 and 57136 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 57136

Prime factors of 57136 are 2, 3571. Prime factorization of 57136 in exponential form is:

57136 = 2⁴ × 3571¹

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 57136

List of positive integer factors of 57136 that divides 57116 without a remainder.

1, 2, 4, 8, 16, 3571, 7142, 14284, 28568

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57116 and 57136. The biggest common factor number is the GCF number.
So the greatest common factor 57116 and 57136 is 4.

Also check out the Least Common Multiple of 57116 and 57136