What is the Greatest Common Factor of 13312 and 13322?

Greatest common factor (GCF) of 13312 and 13322 is 2.

GCF(13312,13322) = 2

We will now calculate the prime factors of 13312 and 13322, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13312 and 13322.

How to find the GCF of 13312 and 13322?

We will first find the prime factorization of 13312 and 13322. After we will calculate the factors of 13312 and 13322 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 13322

Prime factors of 13322 are 2, 6661. Prime factorization of 13322 in exponential form is:

13322 = 2¹ × 6661¹

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 13322

List of positive integer factors of 13322 that divides 13312 without a remainder.

1, 2, 6661

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13312 and 13322. The biggest common factor number is the GCF number.
So the greatest common factor 13312 and 13322 is 2.

Also check out the Least Common Multiple of 13312 and 13322