What is the Greatest Common Factor of 22128 and 22132?

Greatest common factor (GCF) of 22128 and 22132 is 4.

GCF(22128,22132) = 4

We will now calculate the prime factors of 22128 and 22132, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22128 and 22132.

How to find the GCF of 22128 and 22132?

We will first find the prime factorization of 22128 and 22132. After we will calculate the factors of 22128 and 22132 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 22132

Prime factors of 22132 are 2, 11, 503. Prime factorization of 22132 in exponential form is:

22132 = 2² × 11¹ × 503¹

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 22132

List of positive integer factors of 22132 that divides 22128 without a remainder.

1, 2, 4, 11, 22, 44, 503, 1006, 2012, 5533, 11066

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22128 and 22132. The biggest common factor number is the GCF number.
So the greatest common factor 22128 and 22132 is 4.

Also check out the Least Common Multiple of 22128 and 22132