What is the Greatest Common Factor of 60131 and 60137?

Greatest common factor (GCF) of 60131 and 60137 is 1.

GCF(60131,60137) = 1

We will now calculate the prime factors of 60131 and 60137, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60131 and 60137.

How to find the GCF of 60131 and 60137?

We will first find the prime factorization of 60131 and 60137. After we will calculate the factors of 60131 and 60137 and find the biggest common factor number .

Step-1: Prime Factorization of 60131

Prime factors of 60131 are 157, 383. Prime factorization of 60131 in exponential form is:

60131 = 157¹ × 383¹

Step-2: Prime Factorization of 60137

Prime factors of 60137 are 7, 11, 71. Prime factorization of 60137 in exponential form is:

60137 = 7¹ × 11² × 71¹

Step-3: Factors of 60131

List of positive integer factors of 60131 that divides 60131 without a remainder.

1, 157, 383

Step-4: Factors of 60137

List of positive integer factors of 60137 that divides 60131 without a remainder.

1, 7, 11, 71, 77, 121, 497, 781, 847, 5467, 8591

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60131 and 60137. The biggest common factor number is the GCF number.
So the greatest common factor 60131 and 60137 is 1.

Also check out the Least Common Multiple of 60131 and 60137