What is the Greatest Common Factor of 12189 and 12203?

Greatest common factor (GCF) of 12189 and 12203 is 1.

GCF(12189,12203) = 1

We will now calculate the prime factors of 12189 and 12203, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12189 and 12203.

How to find the GCF of 12189 and 12203?

We will first find the prime factorization of 12189 and 12203. After we will calculate the factors of 12189 and 12203 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 12203

Prime factors of 12203 are 12203. Prime factorization of 12203 in exponential form is:

12203 = 12203¹

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 12203

List of positive integer factors of 12203 that divides 12189 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12189 and 12203. The biggest common factor number is the GCF number.
So the greatest common factor 12189 and 12203 is 1.

Also check out the Least Common Multiple of 12189 and 12203