What is the Greatest Common Factor of 39329 and 39348?

Greatest common factor (GCF) of 39329 and 39348 is 1.

GCF(39329,39348) = 1

We will now calculate the prime factors of 39329 and 39348, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39329 and 39348.

How to find the GCF of 39329 and 39348?

We will first find the prime factorization of 39329 and 39348. After we will calculate the factors of 39329 and 39348 and find the biggest common factor number .

Step-1: Prime Factorization of 39329

Prime factors of 39329 are 67, 587. Prime factorization of 39329 in exponential form is:

39329 = 67¹ × 587¹

Step-2: Prime Factorization of 39348

Prime factors of 39348 are 2, 3, 1093. Prime factorization of 39348 in exponential form is:

39348 = 2² × 3² × 1093¹

Step-3: Factors of 39329

List of positive integer factors of 39329 that divides 39329 without a remainder.

1, 67, 587

Step-4: Factors of 39348

List of positive integer factors of 39348 that divides 39329 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1093, 2186, 3279, 4372, 6558, 9837, 13116, 19674

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39329 and 39348. The biggest common factor number is the GCF number.
So the greatest common factor 39329 and 39348 is 1.

Also check out the Least Common Multiple of 39329 and 39348