What is the Greatest Common Factor of 12842 and 12856?

Greatest common factor (GCF) of 12842 and 12856 is 2.

GCF(12842,12856) = 2

We will now calculate the prime factors of 12842 and 12856, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12842 and 12856.

How to find the GCF of 12842 and 12856?

We will first find the prime factorization of 12842 and 12856. After we will calculate the factors of 12842 and 12856 and find the biggest common factor number .

Step-1: Prime Factorization of 12842

Prime factors of 12842 are 2, 6421. Prime factorization of 12842 in exponential form is:

12842 = 2¹ × 6421¹

Step-2: Prime Factorization of 12856

Prime factors of 12856 are 2, 1607. Prime factorization of 12856 in exponential form is:

12856 = 2³ × 1607¹

Step-3: Factors of 12842

List of positive integer factors of 12842 that divides 12842 without a remainder.

1, 2, 6421

Step-4: Factors of 12856

List of positive integer factors of 12856 that divides 12842 without a remainder.

1, 2, 4, 8, 1607, 3214, 6428

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12842 and 12856. The biggest common factor number is the GCF number.
So the greatest common factor 12842 and 12856 is 2.

Also check out the Least Common Multiple of 12842 and 12856