What is the Greatest Common Factor of 11191 and 11209?

Greatest common factor (GCF) of 11191 and 11209 is 1.

GCF(11191,11209) = 1

We will now calculate the prime factors of 11191 and 11209, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11191 and 11209.

How to find the GCF of 11191 and 11209?

We will first find the prime factorization of 11191 and 11209. After we will calculate the factors of 11191 and 11209 and find the biggest common factor number .

Step-1: Prime Factorization of 11191

Prime factors of 11191 are 19, 31. Prime factorization of 11191 in exponential form is:

11191 = 19² × 31¹

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 11191

List of positive integer factors of 11191 that divides 11191 without a remainder.

1, 19, 31, 361, 589

Step-4: Factors of 11209

List of positive integer factors of 11209 that divides 11191 without a remainder.

1, 11, 1019

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11191 and 11209. The biggest common factor number is the GCF number.
So the greatest common factor 11191 and 11209 is 1.

Also check out the Least Common Multiple of 11191 and 11209