What is the Greatest Common Factor of 12684 and 12692?

Greatest common factor (GCF) of 12684 and 12692 is 4.

GCF(12684,12692) = 4

We will now calculate the prime factors of 12684 and 12692, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12684 and 12692.

How to find the GCF of 12684 and 12692?

We will first find the prime factorization of 12684 and 12692. After we will calculate the factors of 12684 and 12692 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 12692

Prime factors of 12692 are 2, 19, 167. Prime factorization of 12692 in exponential form is:

12692 = 2² × 19¹ × 167¹

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 12692

List of positive integer factors of 12692 that divides 12684 without a remainder.

1, 2, 4, 19, 38, 76, 167, 334, 668, 3173, 6346

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12684 and 12692. The biggest common factor number is the GCF number.
So the greatest common factor 12684 and 12692 is 4.

Also check out the Least Common Multiple of 12684 and 12692