What is the Greatest Common Factor of 12636 and 12645?

Greatest common factor (GCF) of 12636 and 12645 is 9.

GCF(12636,12645) = 9

We will now calculate the prime factors of 12636 and 12645, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12636 and 12645.

How to find the GCF of 12636 and 12645?

We will first find the prime factorization of 12636 and 12645. After we will calculate the factors of 12636 and 12645 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 12645

Prime factors of 12645 are 3, 5, 281. Prime factorization of 12645 in exponential form is:

12645 = 3² × 5¹ × 281¹

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 12645

List of positive integer factors of 12645 that divides 12636 without a remainder.

1, 3, 5, 9, 15, 45, 281, 843, 1405, 2529, 4215

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12636 and 12645. The biggest common factor number is the GCF number.
So the greatest common factor 12636 and 12645 is 9.

Also check out the Least Common Multiple of 12636 and 12645