What is the Greatest Common Factor of 11199 and 11205?

Greatest common factor (GCF) of 11199 and 11205 is 3.

GCF(11199,11205) = 3

We will now calculate the prime factors of 11199 and 11205, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11199 and 11205.

How to find the GCF of 11199 and 11205?

We will first find the prime factorization of 11199 and 11205. After we will calculate the factors of 11199 and 11205 and find the biggest common factor number .

Step-1: Prime Factorization of 11199

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

11199 = 3¹ × 3733¹

Step-2: Prime Factorization of 11205

Prime factors of 11205 are 3, 5, 83. Prime factorization of 11205 in exponential form is:

11205 = 3³ × 5¹ × 83¹

Step-3: Factors of 11199

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

1, 3, 3733

Step-4: Factors of 11205

List of positive integer factors of 11205 that divides 11199 without a remainder.

1, 3, 5, 9, 15, 27, 45, 83, 135, 249, 415, 747, 1245, 2241, 3735

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11199 and 11205. The biggest common factor number is the GCF number.
So the greatest common factor 11199 and 11205 is 3.

Also check out the Least Common Multiple of 11199 and 11205