What is the Greatest Common Factor of 11198 and 11209?

Greatest common factor (GCF) of 11198 and 11209 is 11.

GCF(11198,11209) = 11

We will now calculate the prime factors of 11198 and 11209, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11198 and 11209.

How to find the GCF of 11198 and 11209?

We will first find the prime factorization of 11198 and 11209. After we will calculate the factors of 11198 and 11209 and find the biggest common factor number .

Step-1: Prime Factorization of 11198

Prime factors of 11198 are 2, 11, 509. Prime factorization of 11198 in exponential form is:

11198 = 2¹ × 11¹ × 509¹

Step-2: Prime Factorization of 11209

Prime factors of 11209 are 11, 1019. Prime factorization of 11209 in exponential form is:

11209 = 11¹ × 1019¹

Step-3: Factors of 11198

List of positive integer factors of 11198 that divides 11198 without a remainder.

1, 2, 11, 22, 509, 1018, 5599

Step-4: Factors of 11209

List of positive integer factors of 11209 that divides 11198 without a remainder.

1, 11, 1019

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11198 and 11209. The biggest common factor number is the GCF number.
So the greatest common factor 11198 and 11209 is 11.

Also check out the Least Common Multiple of 11198 and 11209