What is the Greatest Common Factor of 22173 and 22188?

Greatest common factor (GCF) of 22173 and 22188 is 3.

GCF(22173,22188) = 3

We will now calculate the prime factors of 22173 and 22188, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22173 and 22188.

How to find the GCF of 22173 and 22188?

We will first find the prime factorization of 22173 and 22188. After we will calculate the factors of 22173 and 22188 and find the biggest common factor number .

Step-1: Prime Factorization of 22173

Prime factors of 22173 are 3, 19, 389. Prime factorization of 22173 in exponential form is:

22173 = 3¹ × 19¹ × 389¹

Step-2: 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-3: Factors of 22173

List of positive integer factors of 22173 that divides 22173 without a remainder.

1, 3, 19, 57, 389, 1167, 7391

Step-4: Factors of 22188

List of positive integer factors of 22188 that divides 22173 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22173 and 22188. The biggest common factor number is the GCF number.
So the greatest common factor 22173 and 22188 is 3.

Also check out the Least Common Multiple of 22173 and 22188