What is the Greatest Common Factor of 22132 and 22148?

Greatest common factor (GCF) of 22132 and 22148 is 4.

GCF(22132,22148) = 4

We will now calculate the prime factors of 22132 and 22148, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22132 and 22148.

How to find the GCF of 22132 and 22148?

We will first find the prime factorization of 22132 and 22148. After we will calculate the factors of 22132 and 22148 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 22148

Prime factors of 22148 are 2, 7, 113. Prime factorization of 22148 in exponential form is:

22148 = 2² × 7² × 113¹

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 22148

List of positive integer factors of 22148 that divides 22132 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 113, 196, 226, 452, 791, 1582, 3164, 5537, 11074

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22132 and 22148. The biggest common factor number is the GCF number.
So the greatest common factor 22132 and 22148 is 4.

Also check out the Least Common Multiple of 22132 and 22148