What is the Greatest Common Factor of 22904 and 22912?

Greatest common factor (GCF) of 22904 and 22912 is 8.

GCF(22904,22912) = 8

We will now calculate the prime factors of 22904 and 22912, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22904 and 22912.

How to find the GCF of 22904 and 22912?

We will first find the prime factorization of 22904 and 22912. After we will calculate the factors of 22904 and 22912 and find the biggest common factor number .

Step-1: Prime Factorization of 22904

Prime factors of 22904 are 2, 7, 409. Prime factorization of 22904 in exponential form is:

22904 = 2³ × 7¹ × 409¹

Step-2: Prime Factorization of 22912

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

22912 = 2⁷ × 179¹

Step-3: Factors of 22904

List of positive integer factors of 22904 that divides 22904 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 409, 818, 1636, 2863, 3272, 5726, 11452

Step-4: Factors of 22912

List of positive integer factors of 22912 that divides 22904 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22904 and 22912. The biggest common factor number is the GCF number.
So the greatest common factor 22904 and 22912 is 8.

Also check out the Least Common Multiple of 22904 and 22912