What is the Greatest Common Factor of 57114 and 57134?

Greatest common factor (GCF) of 57114 and 57134 is 2.

GCF(57114,57134) = 2

We will now calculate the prime factors of 57114 and 57134, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57114 and 57134.

How to find the GCF of 57114 and 57134?

We will first find the prime factorization of 57114 and 57134. After we will calculate the factors of 57114 and 57134 and find the biggest common factor number .

Step-1: Prime Factorization of 57114

Prime factors of 57114 are 2, 3, 19, 167. Prime factorization of 57114 in exponential form is:

57114 = 2¹ × 3² × 19¹ × 167¹

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 57114

List of positive integer factors of 57114 that divides 57114 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 167, 171, 334, 342, 501, 1002, 1503, 3006, 3173, 6346, 9519, 19038, 28557

Step-4: Factors of 57134

List of positive integer factors of 57134 that divides 57114 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 57114 and 57134. The biggest common factor number is the GCF number.
So the greatest common factor 57114 and 57134 is 2.

Also check out the Least Common Multiple of 57114 and 57134