What is the Greatest Common Factor of 22128 and 22144?

Greatest common factor (GCF) of 22128 and 22144 is 16.

GCF(22128,22144) = 16

We will now calculate the prime factors of 22128 and 22144, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22128 and 22144.

How to find the GCF of 22128 and 22144?

We will first find the prime factorization of 22128 and 22144. After we will calculate the factors of 22128 and 22144 and find the biggest common factor number .

Step-1: Prime Factorization of 22128

Prime factors of 22128 are 2, 3, 461. Prime factorization of 22128 in exponential form is:

22128 = 2⁴ × 3¹ × 461¹

Step-2: Prime Factorization of 22144

Prime factors of 22144 are 2, 173. Prime factorization of 22144 in exponential form is:

22144 = 2⁷ × 173¹

Step-3: Factors of 22128

List of positive integer factors of 22128 that divides 22128 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 461, 922, 1383, 1844, 2766, 3688, 5532, 7376, 11064

Step-4: Factors of 22144

List of positive integer factors of 22144 that divides 22128 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 173, 346, 692, 1384, 2768, 5536, 11072

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22128 and 22144. The biggest common factor number is the GCF number.
So the greatest common factor 22128 and 22144 is 16.

Also check out the Least Common Multiple of 22128 and 22144