What is the Greatest Common Factor of 12708 and 12714?

Greatest common factor (GCF) of 12708 and 12714 is 6.

GCF(12708,12714) = 6

We will now calculate the prime factors of 12708 and 12714, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12708 and 12714.

How to find the GCF of 12708 and 12714?

We will first find the prime factorization of 12708 and 12714. After we will calculate the factors of 12708 and 12714 and find the biggest common factor number .

Step-1: Prime Factorization of 12708

Prime factors of 12708 are 2, 3, 353. Prime factorization of 12708 in exponential form is:

12708 = 2² × 3² × 353¹

Step-2: Prime Factorization of 12714

Prime factors of 12714 are 2, 3, 13, 163. Prime factorization of 12714 in exponential form is:

12714 = 2¹ × 3¹ × 13¹ × 163¹

Step-3: Factors of 12708

List of positive integer factors of 12708 that divides 12708 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 353, 706, 1059, 1412, 2118, 3177, 4236, 6354

Step-4: Factors of 12714

List of positive integer factors of 12714 that divides 12708 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 163, 326, 489, 978, 2119, 4238, 6357

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12708 and 12714. The biggest common factor number is the GCF number.
So the greatest common factor 12708 and 12714 is 6.

Also check out the Least Common Multiple of 12708 and 12714