What is the Greatest Common Factor of 1188 and 1199?

Greatest common factor (GCF) of 1188 and 1199 is 11.

GCF(1188,1199) = 11

We will now calculate the prime factors of 1188 and 1199, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1188 and 1199.

How to find the GCF of 1188 and 1199?

We will first find the prime factorization of 1188 and 1199. After we will calculate the factors of 1188 and 1199 and find the biggest common factor number .

Step-1: Prime Factorization of 1188

Prime factors of 1188 are 2, 3, 11. Prime factorization of 1188 in exponential form is:

1188 = 2² × 3³ × 11¹

Step-2: Prime Factorization of 1199

Prime factors of 1199 are 11, 109. Prime factorization of 1199 in exponential form is:

1199 = 11¹ × 109¹

Step-3: Factors of 1188

List of positive integer factors of 1188 that divides 1188 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 27, 33, 36, 44, 54, 66, 99, 108, 132, 198, 297, 396, 594

Step-4: Factors of 1199

List of positive integer factors of 1199 that divides 1188 without a remainder.

1, 11, 109

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1188 and 1199. The biggest common factor number is the GCF number.
So the greatest common factor 1188 and 1199 is 11.

Also check out the Least Common Multiple of 1188 and 1199