What is the Greatest Common Factor of 22112 and 22132?

Greatest common factor (GCF) of 22112 and 22132 is 4.

GCF(22112,22132) = 4

We will now calculate the prime factors of 22112 and 22132, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22112 and 22132.

How to find the GCF of 22112 and 22132?

We will first find the prime factorization of 22112 and 22132. After we will calculate the factors of 22112 and 22132 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 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 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 22132

List of positive integer factors of 22132 that divides 22112 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 22112 and 22132. The biggest common factor number is the GCF number.
So the greatest common factor 22112 and 22132 is 4.

Also check out the Least Common Multiple of 22112 and 22132