What is the Greatest Common Factor of 22304 and 22312?

Greatest common factor (GCF) of 22304 and 22312 is 8.

GCF(22304,22312) = 8

We will now calculate the prime factors of 22304 and 22312, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22304 and 22312.

How to find the GCF of 22304 and 22312?

We will first find the prime factorization of 22304 and 22312. After we will calculate the factors of 22304 and 22312 and find the biggest common factor number .

Step-1: Prime Factorization of 22304

Prime factors of 22304 are 2, 17, 41. Prime factorization of 22304 in exponential form is:

22304 = 2⁵ × 17¹ × 41¹

Step-2: Prime Factorization of 22312

Prime factors of 22312 are 2, 2789. Prime factorization of 22312 in exponential form is:

22312 = 2³ × 2789¹

Step-3: Factors of 22304

List of positive integer factors of 22304 that divides 22304 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 41, 68, 82, 136, 164, 272, 328, 544, 656, 697, 1312, 1394, 2788, 5576, 11152

Step-4: Factors of 22312

List of positive integer factors of 22312 that divides 22304 without a remainder.

1, 2, 4, 8, 2789, 5578, 11156

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22304 and 22312. The biggest common factor number is the GCF number.
So the greatest common factor 22304 and 22312 is 8.

Also check out the Least Common Multiple of 22304 and 22312