What is the Greatest Common Factor of 13312 and 13328?

Greatest common factor (GCF) of 13312 and 13328 is 16.

GCF(13312,13328) = 16

We will now calculate the prime factors of 13312 and 13328, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13312 and 13328.

How to find the GCF of 13312 and 13328?

We will first find the prime factorization of 13312 and 13328. After we will calculate the factors of 13312 and 13328 and find the biggest common factor number .

Step-1: Prime Factorization of 13312

Prime factors of 13312 are 2, 13. Prime factorization of 13312 in exponential form is:

13312 = 2¹⁰ × 13¹

Step-2: 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-3: Factors of 13312

List of positive integer factors of 13312 that divides 13312 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 128, 208, 256, 416, 512, 832, 1024, 1664, 3328, 6656

Step-4: Factors of 13328

List of positive integer factors of 13328 that divides 13312 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13312 and 13328. The biggest common factor number is the GCF number.
So the greatest common factor 13312 and 13328 is 16.

Also check out the Least Common Multiple of 13312 and 13328