What is the Greatest Common Factor of 12188 and 12197?

Greatest common factor (GCF) of 12188 and 12197 is 1.

GCF(12188,12197) = 1

We will now calculate the prime factors of 12188 and 12197, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12188 and 12197.

How to find the GCF of 12188 and 12197?

We will first find the prime factorization of 12188 and 12197. After we will calculate the factors of 12188 and 12197 and find the biggest common factor number .

Step-1: Prime Factorization of 12188

Prime factors of 12188 are 2, 11, 277. Prime factorization of 12188 in exponential form is:

12188 = 2² × 11¹ × 277¹

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 12188

List of positive integer factors of 12188 that divides 12188 without a remainder.

1, 2, 4, 11, 22, 44, 277, 554, 1108, 3047, 6094

Step-4: Factors of 12197

List of positive integer factors of 12197 that divides 12188 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12188 and 12197. The biggest common factor number is the GCF number.
So the greatest common factor 12188 and 12197 is 1.

Also check out the Least Common Multiple of 12188 and 12197