What is the Greatest Common Factor of 12738 and 12756?

Greatest common factor (GCF) of 12738 and 12756 is 6.

GCF(12738,12756) = 6

We will now calculate the prime factors of 12738 and 12756, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12738 and 12756.

How to find the GCF of 12738 and 12756?

We will first find the prime factorization of 12738 and 12756. After we will calculate the factors of 12738 and 12756 and find the biggest common factor number .

Step-1: Prime Factorization of 12738

Prime factors of 12738 are 2, 3, 11, 193. Prime factorization of 12738 in exponential form is:

12738 = 2¹ × 3¹ × 11¹ × 193¹

Step-2: Prime Factorization of 12756

Prime factors of 12756 are 2, 3, 1063. Prime factorization of 12756 in exponential form is:

12756 = 2² × 3¹ × 1063¹

Step-3: Factors of 12738

List of positive integer factors of 12738 that divides 12738 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 193, 386, 579, 1158, 2123, 4246, 6369

Step-4: Factors of 12756

List of positive integer factors of 12756 that divides 12738 without a remainder.

1, 2, 3, 4, 6, 12, 1063, 2126, 3189, 4252, 6378

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12738 and 12756. The biggest common factor number is the GCF number.
So the greatest common factor 12738 and 12756 is 6.

Also check out the Least Common Multiple of 12738 and 12756