What is the Greatest Common Factor of 51138 and 51157?

Greatest common factor (GCF) of 51138 and 51157 is 1.

GCF(51138,51157) = 1

We will now calculate the prime factors of 51138 and 51157, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51138 and 51157.

How to find the GCF of 51138 and 51157?

We will first find the prime factorization of 51138 and 51157. After we will calculate the factors of 51138 and 51157 and find the biggest common factor number .

Step-1: Prime Factorization of 51138

Prime factors of 51138 are 2, 3, 947. Prime factorization of 51138 in exponential form is:

51138 = 2¹ × 3³ × 947¹

Step-2: Prime Factorization of 51157

Prime factors of 51157 are 51157. Prime factorization of 51157 in exponential form is:

51157 = 51157¹

Step-3: Factors of 51138

List of positive integer factors of 51138 that divides 51138 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 947, 1894, 2841, 5682, 8523, 17046, 25569

Step-4: Factors of 51157

List of positive integer factors of 51157 that divides 51138 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51138 and 51157. The biggest common factor number is the GCF number.
So the greatest common factor 51138 and 51157 is 1.

Also check out the Least Common Multiple of 51138 and 51157