What is the Greatest Common Factor of 22149 and 22164?

Greatest common factor (GCF) of 22149 and 22164 is 3.

GCF(22149,22164) = 3

We will now calculate the prime factors of 22149 and 22164, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22149 and 22164.

How to find the GCF of 22149 and 22164?

We will first find the prime factorization of 22149 and 22164. After we will calculate the factors of 22149 and 22164 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 22164

Prime factors of 22164 are 2, 3, 1847. Prime factorization of 22164 in exponential form is:

22164 = 2² × 3¹ × 1847¹

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 22164

List of positive integer factors of 22164 that divides 22149 without a remainder.

1, 2, 3, 4, 6, 12, 1847, 3694, 5541, 7388, 11082

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22149 and 22164. The biggest common factor number is the GCF number.
So the greatest common factor 22149 and 22164 is 3.

Also check out the Least Common Multiple of 22149 and 22164