What is the Greatest Common Factor of 39348 and 39361?

Greatest common factor (GCF) of 39348 and 39361 is 1.

GCF(39348,39361) = 1

We will now calculate the prime factors of 39348 and 39361, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39348 and 39361.

How to find the GCF of 39348 and 39361?

We will first find the prime factorization of 39348 and 39361. After we will calculate the factors of 39348 and 39361 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 39361

Prime factors of 39361 are 7, 5623. Prime factorization of 39361 in exponential form is:

39361 = 7¹ × 5623¹

Step-3: Factors of 39348

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

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

Step-4: Factors of 39361

List of positive integer factors of 39361 that divides 39348 without a remainder.

1, 7, 5623

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39348 and 39361. The biggest common factor number is the GCF number.
So the greatest common factor 39348 and 39361 is 1.

Also check out the Least Common Multiple of 39348 and 39361