What is the Greatest Common Factor of 22112 and 22128?

Greatest common factor (GCF) of 22112 and 22128 is 16.

GCF(22112,22128) = 16

We will now calculate the prime factors of 22112 and 22128, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22112 and 22128.

How to find the GCF of 22112 and 22128?

We will first find the prime factorization of 22112 and 22128. After we will calculate the factors of 22112 and 22128 and find the biggest common factor number .

Step-1: Prime Factorization of 22112

Prime factors of 22112 are 2, 691. Prime factorization of 22112 in exponential form is:

22112 = 2⁵ × 691¹

Step-2: 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-3: Factors of 22112

List of positive integer factors of 22112 that divides 22112 without a remainder.

1, 2, 4, 8, 16, 32, 691, 1382, 2764, 5528, 11056

Step-4: Factors of 22128

List of positive integer factors of 22128 that divides 22112 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22112 and 22128. The biggest common factor number is the GCF number.
So the greatest common factor 22112 and 22128 is 16.

Also check out the Least Common Multiple of 22112 and 22128