What is the Greatest Common Factor of 2627 and 2631?

Greatest common factor (GCF) of 2627 and 2631 is 1.

GCF(2627,2631) = 1

We will now calculate the prime factors of 2627 and 2631, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2627 and 2631.

How to find the GCF of 2627 and 2631?

We will first find the prime factorization of 2627 and 2631. After we will calculate the factors of 2627 and 2631 and find the biggest common factor number .

Step-1: Prime Factorization of 2627

Prime factors of 2627 are 37, 71. Prime factorization of 2627 in exponential form is:

2627 = 37¹ × 71¹

Step-2: Prime Factorization of 2631

Prime factors of 2631 are 3, 877. Prime factorization of 2631 in exponential form is:

2631 = 3¹ × 877¹

Step-3: Factors of 2627

List of positive integer factors of 2627 that divides 2627 without a remainder.

1, 37, 71

Step-4: Factors of 2631

List of positive integer factors of 2631 that divides 2627 without a remainder.

1, 3, 877

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2627 and 2631. The biggest common factor number is the GCF number.
So the greatest common factor 2627 and 2631 is 1.

Also check out the Least Common Multiple of 2627 and 2631