What is the Greatest Common Factor of 12686 and 12696?

Greatest common factor (GCF) of 12686 and 12696 is 2.

GCF(12686,12696) = 2

We will now calculate the prime factors of 12686 and 12696, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12686 and 12696.

How to find the GCF of 12686 and 12696?

We will first find the prime factorization of 12686 and 12696. After we will calculate the factors of 12686 and 12696 and find the biggest common factor number .

Step-1: Prime Factorization of 12686

Prime factors of 12686 are 2, 6343. Prime factorization of 12686 in exponential form is:

12686 = 2¹ × 6343¹

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 12686

List of positive integer factors of 12686 that divides 12686 without a remainder.

1, 2, 6343

Step-4: Factors of 12696

List of positive integer factors of 12696 that divides 12686 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 12686 and 12696. The biggest common factor number is the GCF number.
So the greatest common factor 12686 and 12696 is 2.

Also check out the Least Common Multiple of 12686 and 12696