What is the Greatest Common Factor of 22167 and 22173?

Greatest common factor (GCF) of 22167 and 22173 is 3.

GCF(22167,22173) = 3

We will now calculate the prime factors of 22167 and 22173, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22167 and 22173.

How to find the GCF of 22167 and 22173?

We will first find the prime factorization of 22167 and 22173. After we will calculate the factors of 22167 and 22173 and find the biggest common factor number .

Step-1: Prime Factorization of 22167

Prime factors of 22167 are 3, 821. Prime factorization of 22167 in exponential form is:

22167 = 3³ × 821¹

Step-2: 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-3: Factors of 22167

List of positive integer factors of 22167 that divides 22167 without a remainder.

1, 3, 9, 27, 821, 2463, 7389

Step-4: Factors of 22173

List of positive integer factors of 22173 that divides 22167 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22167 and 22173. The biggest common factor number is the GCF number.
So the greatest common factor 22167 and 22173 is 3.

Also check out the Least Common Multiple of 22167 and 22173