What is the Greatest Common Factor of 11339 and 11356?

Greatest common factor (GCF) of 11339 and 11356 is 17.

GCF(11339,11356) = 17

We will now calculate the prime factors of 11339 and 11356, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11339 and 11356.

How to find the GCF of 11339 and 11356?

We will first find the prime factorization of 11339 and 11356. After we will calculate the factors of 11339 and 11356 and find the biggest common factor number .

Step-1: Prime Factorization of 11339

Prime factors of 11339 are 17, 23, 29. Prime factorization of 11339 in exponential form is:

11339 = 17¹ × 23¹ × 29¹

Step-2: Prime Factorization of 11356

Prime factors of 11356 are 2, 17, 167. Prime factorization of 11356 in exponential form is:

11356 = 2² × 17¹ × 167¹

Step-3: Factors of 11339

List of positive integer factors of 11339 that divides 11339 without a remainder.

1, 17, 23, 29, 391, 493, 667

Step-4: Factors of 11356

List of positive integer factors of 11356 that divides 11339 without a remainder.

1, 2, 4, 17, 34, 68, 167, 334, 668, 2839, 5678

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11339 and 11356. The biggest common factor number is the GCF number.
So the greatest common factor 11339 and 11356 is 17.

Also check out the Least Common Multiple of 11339 and 11356