What is the Greatest Common Factor of 22149 and 22167?

Greatest common factor (GCF) of 22149 and 22167 is 9.

GCF(22149,22167) = 9

We will now calculate the prime factors of 22149 and 22167, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22149 and 22167.

How to find the GCF of 22149 and 22167?

We will first find the prime factorization of 22149 and 22167. After we will calculate the factors of 22149 and 22167 and find the biggest common factor number .

Step-1: Prime Factorization of 22149

Prime factors of 22149 are 3, 23, 107. Prime factorization of 22149 in exponential form is:

22149 = 3² × 23¹ × 107¹

Step-2: Prime Factorization of 22167

Prime factors of 22167 are 3, 821. Prime factorization of 22167 in exponential form is:

22167 = 3³ × 821¹

Step-3: Factors of 22149

List of positive integer factors of 22149 that divides 22149 without a remainder.

1, 3, 9, 23, 69, 107, 207, 321, 963, 2461, 7383

Step-4: Factors of 22167

List of positive integer factors of 22167 that divides 22149 without a remainder.

1, 3, 9, 27, 821, 2463, 7389

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22149 and 22167. The biggest common factor number is the GCF number.
So the greatest common factor 22149 and 22167 is 9.

Also check out the Least Common Multiple of 22149 and 22167