What is the Greatest Common Factor of 22197 and 22209?

Greatest common factor (GCF) of 22197 and 22209 is 3.

GCF(22197,22209) = 3

We will now calculate the prime factors of 22197 and 22209, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22197 and 22209.

How to find the GCF of 22197 and 22209?

We will first find the prime factorization of 22197 and 22209. After we will calculate the factors of 22197 and 22209 and find the biggest common factor number .

Step-1: Prime Factorization of 22197

Prime factors of 22197 are 3, 7, 151. Prime factorization of 22197 in exponential form is:

22197 = 3¹ × 7² × 151¹

Step-2: Prime Factorization of 22209

Prime factors of 22209 are 3, 11, 673. Prime factorization of 22209 in exponential form is:

22209 = 3¹ × 11¹ × 673¹

Step-3: Factors of 22197

List of positive integer factors of 22197 that divides 22197 without a remainder.

1, 3, 7, 21, 49, 147, 151, 453, 1057, 3171, 7399

Step-4: Factors of 22209

List of positive integer factors of 22209 that divides 22197 without a remainder.

1, 3, 11, 33, 673, 2019, 7403

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22197 and 22209. The biggest common factor number is the GCF number.
So the greatest common factor 22197 and 22209 is 3.

Also check out the Least Common Multiple of 22197 and 22209