What is the Greatest Common Factor of 22188 and 22194?

Greatest common factor (GCF) of 22188 and 22194 is 6.

GCF(22188,22194) = 6

We will now calculate the prime factors of 22188 and 22194, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22188 and 22194.

How to find the GCF of 22188 and 22194?

We will first find the prime factorization of 22188 and 22194. After we will calculate the factors of 22188 and 22194 and find the biggest common factor number .

Step-1: Prime Factorization of 22188

Prime factors of 22188 are 2, 3, 43. Prime factorization of 22188 in exponential form is:

22188 = 2² × 3¹ × 43²

Step-2: Prime Factorization of 22194

Prime factors of 22194 are 2, 3, 137. Prime factorization of 22194 in exponential form is:

22194 = 2¹ × 3⁴ × 137¹

Step-3: Factors of 22188

List of positive integer factors of 22188 that divides 22188 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516, 1849, 3698, 5547, 7396, 11094

Step-4: Factors of 22194

List of positive integer factors of 22194 that divides 22188 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 137, 162, 274, 411, 822, 1233, 2466, 3699, 7398, 11097

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22188 and 22194. The biggest common factor number is the GCF number.
So the greatest common factor 22188 and 22194 is 6.

Also check out the Least Common Multiple of 22188 and 22194