What is the Greatest Common Factor of 22121 and 22132?

Greatest common factor (GCF) of 22121 and 22132 is 11.

GCF(22121,22132) = 11

We will now calculate the prime factors of 22121 and 22132, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22121 and 22132.

How to find the GCF of 22121 and 22132?

We will first find the prime factorization of 22121 and 22132. After we will calculate the factors of 22121 and 22132 and find the biggest common factor number .

Step-1: Prime Factorization of 22121

Prime factors of 22121 are 11, 2011. Prime factorization of 22121 in exponential form is:

22121 = 11¹ × 2011¹

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 22121

List of positive integer factors of 22121 that divides 22121 without a remainder.

1, 11, 2011

Step-4: Factors of 22132

List of positive integer factors of 22132 that divides 22121 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 22121 and 22132. The biggest common factor number is the GCF number.
So the greatest common factor 22121 and 22132 is 11.

Also check out the Least Common Multiple of 22121 and 22132