What is the Greatest Common Factor of 57116 and 57134?

Greatest common factor (GCF) of 57116 and 57134 is 2.

GCF(57116,57134) = 2

We will now calculate the prime factors of 57116 and 57134, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57116 and 57134.

How to find the GCF of 57116 and 57134?

We will first find the prime factorization of 57116 and 57134. After we will calculate the factors of 57116 and 57134 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 57134

Prime factors of 57134 are 2, 7, 11, 53. Prime factorization of 57134 in exponential form is:

57134 = 2¹ × 7² × 11¹ × 53¹

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 57134

List of positive integer factors of 57134 that divides 57116 without a remainder.

1, 2, 7, 11, 14, 22, 49, 53, 77, 98, 106, 154, 371, 539, 583, 742, 1078, 1166, 2597, 4081, 5194, 8162, 28567

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57116 and 57134. The biggest common factor number is the GCF number.
So the greatest common factor 57116 and 57134 is 2.

Also check out the Least Common Multiple of 57116 and 57134