What is the Greatest Common Factor of 22912 and 22928?

Greatest common factor (GCF) of 22912 and 22928 is 16.

GCF(22912,22928) = 16

We will now calculate the prime factors of 22912 and 22928, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22912 and 22928.

How to find the GCF of 22912 and 22928?

We will first find the prime factorization of 22912 and 22928. After we will calculate the factors of 22912 and 22928 and find the biggest common factor number .

Step-1: Prime Factorization of 22912

Prime factors of 22912 are 2, 179. Prime factorization of 22912 in exponential form is:

22912 = 2⁷ × 179¹

Step-2: Prime Factorization of 22928

Prime factors of 22928 are 2, 1433. Prime factorization of 22928 in exponential form is:

22928 = 2⁴ × 1433¹

Step-3: Factors of 22912

List of positive integer factors of 22912 that divides 22912 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 179, 358, 716, 1432, 2864, 5728, 11456

Step-4: Factors of 22928

List of positive integer factors of 22928 that divides 22912 without a remainder.

1, 2, 4, 8, 16, 1433, 2866, 5732, 11464

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22912 and 22928. The biggest common factor number is the GCF number.
So the greatest common factor 22912 and 22928 is 16.

Also check out the Least Common Multiple of 22912 and 22928