What is the Greatest Common Factor of 12189 and 12197?

Greatest common factor (GCF) of 12189 and 12197 is 1.

GCF(12189,12197) = 1

We will now calculate the prime factors of 12189 and 12197, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12189 and 12197.

How to find the GCF of 12189 and 12197?

We will first find the prime factorization of 12189 and 12197. After we will calculate the factors of 12189 and 12197 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 12197

Prime factors of 12197 are 12197. Prime factorization of 12197 in exponential form is:

12197 = 12197¹

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 12197

List of positive integer factors of 12197 that divides 12189 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12189 and 12197. The biggest common factor number is the GCF number.
So the greatest common factor 12189 and 12197 is 1.

Also check out the Least Common Multiple of 12189 and 12197