What is the Greatest Common Factor of 12684 and 12694?

Greatest common factor (GCF) of 12684 and 12694 is 2.

GCF(12684,12694) = 2

We will now calculate the prime factors of 12684 and 12694, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12684 and 12694.

How to find the GCF of 12684 and 12694?

We will first find the prime factorization of 12684 and 12694. After we will calculate the factors of 12684 and 12694 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 12694

Prime factors of 12694 are 2, 11, 577. Prime factorization of 12694 in exponential form is:

12694 = 2¹ × 11¹ × 577¹

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 12694

List of positive integer factors of 12694 that divides 12684 without a remainder.

1, 2, 11, 22, 577, 1154, 6347

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12684 and 12694. The biggest common factor number is the GCF number.
So the greatest common factor 12684 and 12694 is 2.

Also check out the Least Common Multiple of 12684 and 12694