What is the Greatest Common Factor of 22896 and 22912?

Greatest common factor (GCF) of 22896 and 22912 is 16.

GCF(22896,22912) = 16

We will now calculate the prime factors of 22896 and 22912, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22896 and 22912.

How to find the GCF of 22896 and 22912?

We will first find the prime factorization of 22896 and 22912. After we will calculate the factors of 22896 and 22912 and find the biggest common factor number .

Step-1: Prime Factorization of 22896

Prime factors of 22896 are 2, 3, 53. Prime factorization of 22896 in exponential form is:

22896 = 2⁴ × 3³ × 53¹

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 22896

List of positive integer factors of 22896 that divides 22896 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 53, 54, 72, 106, 108, 144, 159, 212, 216, 318, 424, 432, 477, 636, 848, 954, 1272, 1431, 1908, 2544, 2862, 3816, 5724, 7632, 11448

Step-4: Factors of 22912

List of positive integer factors of 22912 that divides 22896 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 22896 and 22912. The biggest common factor number is the GCF number.
So the greatest common factor 22896 and 22912 is 16.

Also check out the Least Common Multiple of 22896 and 22912