What is the Greatest Common Factor of 12631 and 12648?

Greatest common factor (GCF) of 12631 and 12648 is 17.

GCF(12631,12648) = 17

We will now calculate the prime factors of 12631 and 12648, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12631 and 12648.

How to find the GCF of 12631 and 12648?

We will first find the prime factorization of 12631 and 12648. After we will calculate the factors of 12631 and 12648 and find the biggest common factor number .

Step-1: Prime Factorization of 12631

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

12631 = 17¹ × 743¹

Step-2: Prime Factorization of 12648

Prime factors of 12648 are 2, 3, 17, 31. Prime factorization of 12648 in exponential form is:

12648 = 2³ × 3¹ × 17¹ × 31¹

Step-3: Factors of 12631

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

1, 17, 743

Step-4: Factors of 12648

List of positive integer factors of 12648 that divides 12631 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 31, 34, 51, 62, 68, 93, 102, 124, 136, 186, 204, 248, 372, 408, 527, 744, 1054, 1581, 2108, 3162, 4216, 6324

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12631 and 12648. The biggest common factor number is the GCF number.
So the greatest common factor 12631 and 12648 is 17.

Also check out the Least Common Multiple of 12631 and 12648