What is the Greatest Common Factor of 22132 and 22150?

Greatest common factor (GCF) of 22132 and 22150 is 2.

GCF(22132,22150) = 2

We will now calculate the prime factors of 22132 and 22150, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22132 and 22150.

How to find the GCF of 22132 and 22150?

We will first find the prime factorization of 22132 and 22150. After we will calculate the factors of 22132 and 22150 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 22150

Prime factors of 22150 are 2, 5, 443. Prime factorization of 22150 in exponential form is:

22150 = 2¹ × 5² × 443¹

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 22150

List of positive integer factors of 22150 that divides 22132 without a remainder.

1, 2, 5, 10, 25, 50, 443, 886, 2215, 4430, 11075

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22132 and 22150. The biggest common factor number is the GCF number.
So the greatest common factor 22132 and 22150 is 2.

Also check out the Least Common Multiple of 22132 and 22150