What is the Greatest Common Factor of 12896 and 12916?

Greatest common factor (GCF) of 12896 and 12916 is 4.

GCF(12896,12916) = 4

We will now calculate the prime factors of 12896 and 12916, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12896 and 12916.

How to find the GCF of 12896 and 12916?

We will first find the prime factorization of 12896 and 12916. After we will calculate the factors of 12896 and 12916 and find the biggest common factor number .

Step-1: Prime Factorization of 12896

Prime factors of 12896 are 2, 13, 31. Prime factorization of 12896 in exponential form is:

12896 = 2⁵ × 13¹ × 31¹

Step-2: Prime Factorization of 12916

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

12916 = 2² × 3229¹

Step-3: Factors of 12896

List of positive integer factors of 12896 that divides 12896 without a remainder.

1, 2, 4, 8, 13, 16, 26, 31, 32, 52, 62, 104, 124, 208, 248, 403, 416, 496, 806, 992, 1612, 3224, 6448

Step-4: Factors of 12916

List of positive integer factors of 12916 that divides 12896 without a remainder.

1, 2, 4, 3229, 6458

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12896 and 12916. The biggest common factor number is the GCF number.
So the greatest common factor 12896 and 12916 is 4.

Also check out the Least Common Multiple of 12896 and 12916