What is the Greatest Common Factor of 22185 and 22203?

Greatest common factor (GCF) of 22185 and 22203 is 9.

GCF(22185,22203) = 9

We will now calculate the prime factors of 22185 and 22203, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22185 and 22203.

How to find the GCF of 22185 and 22203?

We will first find the prime factorization of 22185 and 22203. After we will calculate the factors of 22185 and 22203 and find the biggest common factor number .

Step-1: Prime Factorization of 22185

Prime factors of 22185 are 3, 5, 17, 29. Prime factorization of 22185 in exponential form is:

22185 = 3² × 5¹ × 17¹ × 29¹

Step-2: Prime Factorization of 22203

Prime factors of 22203 are 3, 2467. Prime factorization of 22203 in exponential form is:

22203 = 3² × 2467¹

Step-3: Factors of 22185

List of positive integer factors of 22185 that divides 22185 without a remainder.

1, 3, 5, 9, 15, 17, 29, 45, 51, 85, 87, 145, 153, 255, 261, 435, 493, 765, 1305, 1479, 2465, 4437, 7395

Step-4: Factors of 22203

List of positive integer factors of 22203 that divides 22185 without a remainder.

1, 3, 9, 2467, 7401

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22185 and 22203. The biggest common factor number is the GCF number.
So the greatest common factor 22185 and 22203 is 9.

Also check out the Least Common Multiple of 22185 and 22203