What is the Greatest Common Factor of 57129 and 57140?

Greatest common factor (GCF) of 57129 and 57140 is 1.

GCF(57129,57140) = 1

We will now calculate the prime factors of 57129 and 57140, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57129 and 57140.

How to find the GCF of 57129 and 57140?

We will first find the prime factorization of 57129 and 57140. After we will calculate the factors of 57129 and 57140 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 57140

Prime factors of 57140 are 2, 5, 2857. Prime factorization of 57140 in exponential form is:

57140 = 2² × 5¹ × 2857¹

Step-3: Factors of 57129

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

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

Step-4: Factors of 57140

List of positive integer factors of 57140 that divides 57129 without a remainder.

1, 2, 4, 5, 10, 20, 2857, 5714, 11428, 14285, 28570

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57129 and 57140. The biggest common factor number is the GCF number.
So the greatest common factor 57129 and 57140 is 1.

Also check out the Least Common Multiple of 57129 and 57140