What is the Greatest Common Factor of 39285 and 39299?

Greatest common factor (GCF) of 39285 and 39299 is 1.

GCF(39285,39299) = 1

We will now calculate the prime factors of 39285 and 39299, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39285 and 39299.

How to find the GCF of 39285 and 39299?

We will first find the prime factorization of 39285 and 39299. After we will calculate the factors of 39285 and 39299 and find the biggest common factor number .

Step-1: Prime Factorization of 39285

Prime factors of 39285 are 3, 5, 97. Prime factorization of 39285 in exponential form is:

39285 = 3⁴ × 5¹ × 97¹

Step-2: Prime Factorization of 39299

Prime factors of 39299 are 13, 3023. Prime factorization of 39299 in exponential form is:

39299 = 13¹ × 3023¹

Step-3: Factors of 39285

List of positive integer factors of 39285 that divides 39285 without a remainder.

1, 3, 5, 9, 15, 27, 45, 81, 97, 135, 291, 405, 485, 873, 1455, 2619, 4365, 7857, 13095

Step-4: Factors of 39299

List of positive integer factors of 39299 that divides 39285 without a remainder.

1, 13, 3023

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39285 and 39299. The biggest common factor number is the GCF number.
So the greatest common factor 39285 and 39299 is 1.

Also check out the Least Common Multiple of 39285 and 39299