What is the Greatest Common Factor of 12684 and 12696?

Greatest common factor (GCF) of 12684 and 12696 is 12.

GCF(12684,12696) = 12

We will now calculate the prime factors of 12684 and 12696, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12684 and 12696.

How to find the GCF of 12684 and 12696?

We will first find the prime factorization of 12684 and 12696. After we will calculate the factors of 12684 and 12696 and find the biggest common factor number .

Step-1: Prime Factorization of 12684

Prime factors of 12684 are 2, 3, 7, 151. Prime factorization of 12684 in exponential form is:

12684 = 2² × 3¹ × 7¹ × 151¹

Step-2: Prime Factorization of 12696

Prime factors of 12696 are 2, 3, 23. Prime factorization of 12696 in exponential form is:

12696 = 2³ × 3¹ × 23²

Step-3: Factors of 12684

List of positive integer factors of 12684 that divides 12684 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 151, 302, 453, 604, 906, 1057, 1812, 2114, 3171, 4228, 6342

Step-4: Factors of 12696

List of positive integer factors of 12696 that divides 12684 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 529, 552, 1058, 1587, 2116, 3174, 4232, 6348

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12684 and 12696. The biggest common factor number is the GCF number.
So the greatest common factor 12684 and 12696 is 12.

Also check out the Least Common Multiple of 12684 and 12696