What is the Greatest Common Factor of 22146 and 22164?

Greatest common factor (GCF) of 22146 and 22164 is 6.

GCF(22146,22164) = 6

We will now calculate the prime factors of 22146 and 22164, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22146 and 22164.

How to find the GCF of 22146 and 22164?

We will first find the prime factorization of 22146 and 22164. After we will calculate the factors of 22146 and 22164 and find the biggest common factor number .

Step-1: 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-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 22146

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

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

Step-4: Factors of 22164

List of positive integer factors of 22164 that divides 22146 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 22146 and 22164. The biggest common factor number is the GCF number.
So the greatest common factor 22146 and 22164 is 6.

Also check out the Least Common Multiple of 22146 and 22164