What is the Greatest Common Factor of 12627 and 12631?

Greatest common factor (GCF) of 12627 and 12631 is 1.

GCF(12627,12631) = 1

We will now calculate the prime factors of 12627 and 12631, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12627 and 12631.

How to find the GCF of 12627 and 12631?

We will first find the prime factorization of 12627 and 12631. After we will calculate the factors of 12627 and 12631 and find the biggest common factor number .

Step-1: Prime Factorization of 12627

Prime factors of 12627 are 3, 23, 61. Prime factorization of 12627 in exponential form is:

12627 = 3² × 23¹ × 61¹

Step-2: Prime Factorization of 12631

Prime factors of 12631 are 17, 743. Prime factorization of 12631 in exponential form is:

12631 = 17¹ × 743¹

Step-3: Factors of 12627

List of positive integer factors of 12627 that divides 12627 without a remainder.

1, 3, 9, 23, 61, 69, 183, 207, 549, 1403, 4209

Step-4: Factors of 12631

List of positive integer factors of 12631 that divides 12627 without a remainder.

1, 17, 743

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12627 and 12631. The biggest common factor number is the GCF number.
So the greatest common factor 12627 and 12631 is 1.

Also check out the Least Common Multiple of 12627 and 12631