What is the Greatest Common Factor of 12188 and 12199?

Greatest common factor (GCF) of 12188 and 12199 is 11.

GCF(12188,12199) = 11

We will now calculate the prime factors of 12188 and 12199, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12188 and 12199.

How to find the GCF of 12188 and 12199?

We will first find the prime factorization of 12188 and 12199. After we will calculate the factors of 12188 and 12199 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 12199

Prime factors of 12199 are 11, 1109. Prime factorization of 12199 in exponential form is:

12199 = 11¹ × 1109¹

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 12199

List of positive integer factors of 12199 that divides 12188 without a remainder.

1, 11, 1109

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12188 and 12199. The biggest common factor number is the GCF number.
So the greatest common factor 12188 and 12199 is 11.

Also check out the Least Common Multiple of 12188 and 12199