What is the Greatest Common Factor of 22158 and 22164?

Greatest common factor (GCF) of 22158 and 22164 is 6.

GCF(22158,22164) = 6

We will now calculate the prime factors of 22158 and 22164, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22158 and 22164.

How to find the GCF of 22158 and 22164?

We will first find the prime factorization of 22158 and 22164. After we will calculate the factors of 22158 and 22164 and find the biggest common factor number .

Step-1: Prime Factorization of 22158

Prime factors of 22158 are 2, 3, 1231. Prime factorization of 22158 in exponential form is:

22158 = 2¹ × 3² × 1231¹

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 22158

List of positive integer factors of 22158 that divides 22158 without a remainder.

1, 2, 3, 6, 9, 18, 1231, 2462, 3693, 7386, 11079

Step-4: Factors of 22164

List of positive integer factors of 22164 that divides 22158 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 22158 and 22164. The biggest common factor number is the GCF number.
So the greatest common factor 22158 and 22164 is 6.

Also check out the Least Common Multiple of 22158 and 22164