What is the Greatest Common Factor of 76627 and 76631?

Greatest common factor (GCF) of 76627 and 76631 is 1.

GCF(76627,76631) = 1

We will now calculate the prime factors of 76627 and 76631, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76627 and 76631.

How to find the GCF of 76627 and 76631?

We will first find the prime factorization of 76627 and 76631. After we will calculate the factors of 76627 and 76631 and find the biggest common factor number .

Step-1: Prime Factorization of 76627

Prime factors of 76627 are 19, 37, 109. Prime factorization of 76627 in exponential form is:

76627 = 19¹ × 37¹ × 109¹

Step-2: Prime Factorization of 76631

Prime factors of 76631 are 76631. Prime factorization of 76631 in exponential form is:

76631 = 76631¹

Step-3: Factors of 76627

List of positive integer factors of 76627 that divides 76627 without a remainder.

1, 19, 37, 109, 703, 2071, 4033

Step-4: Factors of 76631

List of positive integer factors of 76631 that divides 76627 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76627 and 76631. The biggest common factor number is the GCF number.
So the greatest common factor 76627 and 76631 is 1.

Also check out the Least Common Multiple of 76627 and 76631