What is the Greatest Common Factor of 12916 and 12934?

Greatest common factor (GCF) of 12916 and 12934 is 2.

GCF(12916,12934) = 2

We will now calculate the prime factors of 12916 and 12934, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12916 and 12934.

How to find the GCF of 12916 and 12934?

We will first find the prime factorization of 12916 and 12934. After we will calculate the factors of 12916 and 12934 and find the biggest common factor number .

Step-1: Prime Factorization of 12916

Prime factors of 12916 are 2, 3229. Prime factorization of 12916 in exponential form is:

12916 = 2² × 3229¹

Step-2: Prime Factorization of 12934

Prime factors of 12934 are 2, 29, 223. Prime factorization of 12934 in exponential form is:

12934 = 2¹ × 29¹ × 223¹

Step-3: Factors of 12916

List of positive integer factors of 12916 that divides 12916 without a remainder.

1, 2, 4, 3229, 6458

Step-4: Factors of 12934

List of positive integer factors of 12934 that divides 12916 without a remainder.

1, 2, 29, 58, 223, 446, 6467

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12916 and 12934. The biggest common factor number is the GCF number.
So the greatest common factor 12916 and 12934 is 2.

Also check out the Least Common Multiple of 12916 and 12934