What is the Greatest Common Factor of 11187 and 11199?

Greatest common factor (GCF) of 11187 and 11199 is 3.

GCF(11187,11199) = 3

We will now calculate the prime factors of 11187 and 11199, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11187 and 11199.

How to find the GCF of 11187 and 11199?

We will first find the prime factorization of 11187 and 11199. After we will calculate the factors of 11187 and 11199 and find the biggest common factor number .

Step-1: Prime Factorization of 11187

Prime factors of 11187 are 3, 11, 113. Prime factorization of 11187 in exponential form is:

11187 = 3² × 11¹ × 113¹

Step-2: Prime Factorization of 11199

Prime factors of 11199 are 3, 3733. Prime factorization of 11199 in exponential form is:

11199 = 3¹ × 3733¹

Step-3: Factors of 11187

List of positive integer factors of 11187 that divides 11187 without a remainder.

1, 3, 9, 11, 33, 99, 113, 339, 1017, 1243, 3729

Step-4: Factors of 11199

List of positive integer factors of 11199 that divides 11187 without a remainder.

1, 3, 3733

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11187 and 11199. The biggest common factor number is the GCF number.
So the greatest common factor 11187 and 11199 is 3.

Also check out the Least Common Multiple of 11187 and 11199