What is the Greatest Common Factor of 22132 and 22146?

Greatest common factor (GCF) of 22132 and 22146 is 2.

GCF(22132,22146) = 2

We will now calculate the prime factors of 22132 and 22146, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22132 and 22146.

How to find the GCF of 22132 and 22146?

We will first find the prime factorization of 22132 and 22146. After we will calculate the factors of 22132 and 22146 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 22146

Prime factors of 22146 are 2, 3, 3691. Prime factorization of 22146 in exponential form is:

22146 = 2¹ × 3¹ × 3691¹

Step-3: Factors of 22132

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

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

Step-4: Factors of 22146

List of positive integer factors of 22146 that divides 22132 without a remainder.

1, 2, 3, 6, 3691, 7382, 11073

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22132 and 22146. The biggest common factor number is the GCF number.
So the greatest common factor 22132 and 22146 is 2.

Also check out the Least Common Multiple of 22132 and 22146