What is the Greatest Common Factor of 57112 and 57129?

Greatest common factor (GCF) of 57112 and 57129 is 1.

GCF(57112,57129) = 1

We will now calculate the prime factors of 57112 and 57129, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57112 and 57129.

How to find the GCF of 57112 and 57129?

We will first find the prime factorization of 57112 and 57129. After we will calculate the factors of 57112 and 57129 and find the biggest common factor number .

Step-1: Prime Factorization of 57112

Prime factors of 57112 are 2, 11, 59. Prime factorization of 57112 in exponential form is:

57112 = 2³ × 11² × 59¹

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 57112

List of positive integer factors of 57112 that divides 57112 without a remainder.

1, 2, 4, 8, 11, 22, 44, 59, 88, 118, 121, 236, 242, 472, 484, 649, 968, 1298, 2596, 5192, 7139, 14278, 28556

Step-4: Factors of 57129

List of positive integer factors of 57129 that divides 57112 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57112 and 57129. The biggest common factor number is the GCF number.
So the greatest common factor 57112 and 57129 is 1.

Also check out the Least Common Multiple of 57112 and 57129