What is the Greatest Common Factor of 57114 and 57132?

Greatest common factor (GCF) of 57114 and 57132 is 18.

GCF(57114,57132) = 18

We will now calculate the prime factors of 57114 and 57132, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57114 and 57132.

How to find the GCF of 57114 and 57132?

We will first find the prime factorization of 57114 and 57132. After we will calculate the factors of 57114 and 57132 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 57132

Prime factors of 57132 are 2, 3, 23. Prime factorization of 57132 in exponential form is:

57132 = 2² × 3³ × 23²

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 57132

List of positive integer factors of 57132 that divides 57114 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 27, 36, 46, 54, 69, 92, 108, 138, 207, 276, 414, 529, 621, 828, 1058, 1242, 1587, 2116, 2484, 3174, 4761, 6348, 9522, 14283, 19044, 28566

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57114 and 57132. The biggest common factor number is the GCF number.
So the greatest common factor 57114 and 57132 is 18.

Also check out the Least Common Multiple of 57114 and 57132