What is the Greatest Common Factor of 12636 and 12648?

Greatest common factor (GCF) of 12636 and 12648 is 12.

GCF(12636,12648) = 12

We will now calculate the prime factors of 12636 and 12648, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12636 and 12648.

How to find the GCF of 12636 and 12648?

We will first find the prime factorization of 12636 and 12648. After we will calculate the factors of 12636 and 12648 and find the biggest common factor number .

Step-1: Prime Factorization of 12636

Prime factors of 12636 are 2, 3, 13. Prime factorization of 12636 in exponential form is:

12636 = 2² × 3⁵ × 13¹

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 12636

List of positive integer factors of 12636 that divides 12636 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 27, 36, 39, 52, 54, 78, 81, 108, 117, 156, 162, 234, 243, 324, 351, 468, 486, 702, 972, 1053, 1404, 2106, 3159, 4212, 6318

Step-4: Factors of 12648

List of positive integer factors of 12648 that divides 12636 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 12636 and 12648. The biggest common factor number is the GCF number.
So the greatest common factor 12636 and 12648 is 12.

Also check out the Least Common Multiple of 12636 and 12648