What is the Greatest Common Factor of 11209 and 11226?

Greatest common factor (GCF) of 11209 and 11226 is 1.

GCF(11209,11226) = 1

We will now calculate the prime factors of 11209 and 11226, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11209 and 11226.

How to find the GCF of 11209 and 11226?

We will first find the prime factorization of 11209 and 11226. After we will calculate the factors of 11209 and 11226 and find the biggest common factor number .

Step-1: Prime Factorization of 11209

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

11209 = 11¹ × 1019¹

Step-2: Prime Factorization of 11226

Prime factors of 11226 are 2, 3, 1871. Prime factorization of 11226 in exponential form is:

11226 = 2¹ × 3¹ × 1871¹

Step-3: Factors of 11209

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

1, 11, 1019

Step-4: Factors of 11226

List of positive integer factors of 11226 that divides 11209 without a remainder.

1, 2, 3, 6, 1871, 3742, 5613

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11209 and 11226. The biggest common factor number is the GCF number.
So the greatest common factor 11209 and 11226 is 1.

Also check out the Least Common Multiple of 11209 and 11226