What is the Greatest Common Factor of 12862 and 12872?

Greatest common factor (GCF) of 12862 and 12872 is 2.

GCF(12862,12872) = 2

We will now calculate the prime factors of 12862 and 12872, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12862 and 12872.

How to find the GCF of 12862 and 12872?

We will first find the prime factorization of 12862 and 12872. After we will calculate the factors of 12862 and 12872 and find the biggest common factor number .

Step-1: Prime Factorization of 12862

Prime factors of 12862 are 2, 59, 109. Prime factorization of 12862 in exponential form is:

12862 = 2¹ × 59¹ × 109¹

Step-2: Prime Factorization of 12872

Prime factors of 12872 are 2, 1609. Prime factorization of 12872 in exponential form is:

12872 = 2³ × 1609¹

Step-3: Factors of 12862

List of positive integer factors of 12862 that divides 12862 without a remainder.

1, 2, 59, 109, 118, 218, 6431

Step-4: Factors of 12872

List of positive integer factors of 12872 that divides 12862 without a remainder.

1, 2, 4, 8, 1609, 3218, 6436

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12862 and 12872. The biggest common factor number is the GCF number.
So the greatest common factor 12862 and 12872 is 2.

Also check out the Least Common Multiple of 12862 and 12872