What is the Greatest Common Factor of 12636 and 12654?

Greatest common factor (GCF) of 12636 and 12654 is 18.

GCF(12636,12654) = 18

We will now calculate the prime factors of 12636 and 12654, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12636 and 12654.

How to find the GCF of 12636 and 12654?

We will first find the prime factorization of 12636 and 12654. After we will calculate the factors of 12636 and 12654 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 12654

Prime factors of 12654 are 2, 3, 19, 37. Prime factorization of 12654 in exponential form is:

12654 = 2¹ × 3² × 19¹ × 37¹

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 12654

List of positive integer factors of 12654 that divides 12636 without a remainder.

1, 2, 3, 6, 9, 18, 19, 37, 38, 57, 74, 111, 114, 171, 222, 333, 342, 666, 703, 1406, 2109, 4218, 6327

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12636 and 12654. The biggest common factor number is the GCF number.
So the greatest common factor 12636 and 12654 is 18.

Also check out the Least Common Multiple of 12636 and 12654