What is the Greatest Common Factor of 7339 and 7348?

Greatest common factor (GCF) of 7339 and 7348 is 1.

GCF(7339,7348) = 1

We will now calculate the prime factors of 7339 and 7348, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7339 and 7348.

How to find the GCF of 7339 and 7348?

We will first find the prime factorization of 7339 and 7348. After we will calculate the factors of 7339 and 7348 and find the biggest common factor number .

Step-1: Prime Factorization of 7339

Prime factors of 7339 are 41, 179. Prime factorization of 7339 in exponential form is:

7339 = 41¹ × 179¹

Step-2: Prime Factorization of 7348

Prime factors of 7348 are 2, 11, 167. Prime factorization of 7348 in exponential form is:

7348 = 2² × 11¹ × 167¹

Step-3: Factors of 7339

List of positive integer factors of 7339 that divides 7339 without a remainder.

1, 41, 179

Step-4: Factors of 7348

List of positive integer factors of 7348 that divides 7339 without a remainder.

1, 2, 4, 11, 22, 44, 167, 334, 668, 1837, 3674

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7339 and 7348. The biggest common factor number is the GCF number.
So the greatest common factor 7339 and 7348 is 1.

Also check out the Least Common Multiple of 7339 and 7348