What is the Greatest Common Factor of 76131 and 76139?

Greatest common factor (GCF) of 76131 and 76139 is 1.

GCF(76131,76139) = 1

We will now calculate the prime factors of 76131 and 76139, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76131 and 76139.

How to find the GCF of 76131 and 76139?

We will first find the prime factorization of 76131 and 76139. After we will calculate the factors of 76131 and 76139 and find the biggest common factor number .

Step-1: Prime Factorization of 76131

Prime factors of 76131 are 3, 11, 769. Prime factorization of 76131 in exponential form is:

76131 = 3² × 11¹ × 769¹

Step-2: Prime Factorization of 76139

Prime factors of 76139 are 7, 73, 149. Prime factorization of 76139 in exponential form is:

76139 = 7¹ × 73¹ × 149¹

Step-3: Factors of 76131

List of positive integer factors of 76131 that divides 76131 without a remainder.

1, 3, 9, 11, 33, 99, 769, 2307, 6921, 8459, 25377

Step-4: Factors of 76139

List of positive integer factors of 76139 that divides 76131 without a remainder.

1, 7, 73, 149, 511, 1043, 10877

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76131 and 76139. The biggest common factor number is the GCF number.
So the greatest common factor 76131 and 76139 is 1.

Also check out the Least Common Multiple of 76131 and 76139