What is the Greatest Common Factor of 12189 and 12205?

Greatest common factor (GCF) of 12189 and 12205 is 1.

GCF(12189,12205) = 1

We will now calculate the prime factors of 12189 and 12205, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12189 and 12205.

How to find the GCF of 12189 and 12205?

We will first find the prime factorization of 12189 and 12205. After we will calculate the factors of 12189 and 12205 and find the biggest common factor number .

Step-1: Prime Factorization of 12189

Prime factors of 12189 are 3, 17, 239. Prime factorization of 12189 in exponential form is:

12189 = 3¹ × 17¹ × 239¹

Step-2: Prime Factorization of 12205

Prime factors of 12205 are 5, 2441. Prime factorization of 12205 in exponential form is:

12205 = 5¹ × 2441¹

Step-3: Factors of 12189

List of positive integer factors of 12189 that divides 12189 without a remainder.

1, 3, 17, 51, 239, 717, 4063

Step-4: Factors of 12205

List of positive integer factors of 12205 that divides 12189 without a remainder.

1, 5, 2441

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12189 and 12205. The biggest common factor number is the GCF number.
So the greatest common factor 12189 and 12205 is 1.

Also check out the Least Common Multiple of 12189 and 12205