What is the Greatest Common Factor of 57114 and 57129?

Greatest common factor (GCF) of 57114 and 57129 is 3.

GCF(57114,57129) = 3

We will now calculate the prime factors of 57114 and 57129, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57114 and 57129.

How to find the GCF of 57114 and 57129?

We will first find the prime factorization of 57114 and 57129. After we will calculate the factors of 57114 and 57129 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 57129

Prime factors of 57129 are 3, 137, 139. Prime factorization of 57129 in exponential form is:

57129 = 3¹ × 137¹ × 139¹

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 57129

List of positive integer factors of 57129 that divides 57114 without a remainder.

1, 3, 137, 139, 411, 417, 19043

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57114 and 57129. The biggest common factor number is the GCF number.
So the greatest common factor 57114 and 57129 is 3.

Also check out the Least Common Multiple of 57114 and 57129