What is the Greatest Common Factor of 13328 and 13346?

Greatest common factor (GCF) of 13328 and 13346 is 2.

GCF(13328,13346) = 2

We will now calculate the prime factors of 13328 and 13346, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13328 and 13346.

How to find the GCF of 13328 and 13346?

We will first find the prime factorization of 13328 and 13346. After we will calculate the factors of 13328 and 13346 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 13346

Prime factors of 13346 are 2, 6673. Prime factorization of 13346 in exponential form is:

13346 = 2¹ × 6673¹

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 13346

List of positive integer factors of 13346 that divides 13328 without a remainder.

1, 2, 6673

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13328 and 13346. The biggest common factor number is the GCF number.
So the greatest common factor 13328 and 13346 is 2.

Also check out the Least Common Multiple of 13328 and 13346