What is the Greatest Common Factor of 11339 and 11348?

Greatest common factor (GCF) of 11339 and 11348 is 1.

GCF(11339,11348) = 1

We will now calculate the prime factors of 11339 and 11348, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11339 and 11348.

How to find the GCF of 11339 and 11348?

We will first find the prime factorization of 11339 and 11348. After we will calculate the factors of 11339 and 11348 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 11348

Prime factors of 11348 are 2, 2837. Prime factorization of 11348 in exponential form is:

11348 = 2² × 2837¹

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 11348

List of positive integer factors of 11348 that divides 11339 without a remainder.

1, 2, 4, 2837, 5674

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11339 and 11348. The biggest common factor number is the GCF number.
So the greatest common factor 11339 and 11348 is 1.

Also check out the Least Common Multiple of 11339 and 11348