What is the Greatest Common Factor of 39285 and 39296?

Greatest common factor (GCF) of 39285 and 39296 is 1.

GCF(39285,39296) = 1

We will now calculate the prime factors of 39285 and 39296, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39285 and 39296.

How to find the GCF of 39285 and 39296?

We will first find the prime factorization of 39285 and 39296. After we will calculate the factors of 39285 and 39296 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 39296

Prime factors of 39296 are 2, 307. Prime factorization of 39296 in exponential form is:

39296 = 2⁷ × 307¹

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 39296

List of positive integer factors of 39296 that divides 39285 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 307, 614, 1228, 2456, 4912, 9824, 19648

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39285 and 39296. The biggest common factor number is the GCF number.
So the greatest common factor 39285 and 39296 is 1.

Also check out the Least Common Multiple of 39285 and 39296