What is the Greatest Common Factor of 13311 and 13328?

Greatest common factor (GCF) of 13311 and 13328 is 17.

GCF(13311,13328) = 17

We will now calculate the prime factors of 13311 and 13328, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13311 and 13328.

How to find the GCF of 13311 and 13328?

We will first find the prime factorization of 13311 and 13328. After we will calculate the factors of 13311 and 13328 and find the biggest common factor number .

Step-1: Prime Factorization of 13311

Prime factors of 13311 are 3, 17, 29. Prime factorization of 13311 in exponential form is:

13311 = 3³ × 17¹ × 29¹

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 13311

List of positive integer factors of 13311 that divides 13311 without a remainder.

1, 3, 9, 17, 27, 29, 51, 87, 153, 261, 459, 493, 783, 1479, 4437

Step-4: Factors of 13328

List of positive integer factors of 13328 that divides 13311 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 13311 and 13328. The biggest common factor number is the GCF number.
So the greatest common factor 13311 and 13328 is 17.

Also check out the Least Common Multiple of 13311 and 13328