What is the Greatest Common Factor of 13328 and 13336?

Greatest common factor (GCF) of 13328 and 13336 is 8.

GCF(13328,13336) = 8

We will now calculate the prime factors of 13328 and 13336, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13328 and 13336.

How to find the GCF of 13328 and 13336?

We will first find the prime factorization of 13328 and 13336. After we will calculate the factors of 13328 and 13336 and find the biggest common factor number .

Step-1: Prime Factorization of 13328

Prime factors of 13328 are 2, 7, 17. Prime factorization of 13328 in exponential form is:

13328 = 2⁴ × 7² × 17¹

Step-2: Prime Factorization of 13336

Prime factors of 13336 are 2, 1667. Prime factorization of 13336 in exponential form is:

13336 = 2³ × 1667¹

Step-3: Factors of 13328

List of positive integer factors of 13328 that divides 13328 without a remainder.

1, 2, 4, 7, 8, 14, 16, 17, 28, 34, 49, 56, 68, 98, 112, 119, 136, 196, 238, 272, 392, 476, 784, 833, 952, 1666, 1904, 3332, 6664

Step-4: Factors of 13336

List of positive integer factors of 13336 that divides 13328 without a remainder.

1, 2, 4, 8, 1667, 3334, 6668

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13328 and 13336. The biggest common factor number is the GCF number.
So the greatest common factor 13328 and 13336 is 8.

Also check out the Least Common Multiple of 13328 and 13336