What is the Greatest Common Factor of 13312 and 13316?

Greatest common factor (GCF) of 13312 and 13316 is 4.

GCF(13312,13316) = 4

We will now calculate the prime factors of 13312 and 13316, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13312 and 13316.

How to find the GCF of 13312 and 13316?

We will first find the prime factorization of 13312 and 13316. After we will calculate the factors of 13312 and 13316 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 13316

Prime factors of 13316 are 2, 3329. Prime factorization of 13316 in exponential form is:

13316 = 2² × 3329¹

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 13316

List of positive integer factors of 13316 that divides 13312 without a remainder.

1, 2, 4, 3329, 6658

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13312 and 13316. The biggest common factor number is the GCF number.
So the greatest common factor 13312 and 13316 is 4.

Also check out the Least Common Multiple of 13312 and 13316