What is the Greatest Common Factor of 131 and 137?

Greatest common factor (GCF) of 131 and 137 is 1.

GCF(131,137) = 1

We will now calculate the prime factors of 131 and 137, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 131 and 137.

How to find the GCF of 131 and 137?

We will first find the prime factorization of 131 and 137. After we will calculate the factors of 131 and 137 and find the biggest common factor number .

Step-1: Prime Factorization of 131

Prime factors of 131 are 131. Prime factorization of 131 in exponential form is:

131 = 131¹

Step-2: Prime Factorization of 137

Prime factors of 137 are 137. Prime factorization of 137 in exponential form is:

137 = 137¹

Step-3: Factors of 131

List of positive integer factors of 131 that divides 131 without a remainder.

Step-4: Factors of 137

List of positive integer factors of 137 that divides 131 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 131 and 137. The biggest common factor number is the GCF number.
So the greatest common factor 131 and 137 is 1.

Also check out the Least Common Multiple of 131 and 137