What is the Greatest Common Factor of 39285 and 39294?

Greatest common factor (GCF) of 39285 and 39294 is 9.

GCF(39285,39294) = 9

We will now calculate the prime factors of 39285 and 39294, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39285 and 39294.

How to find the GCF of 39285 and 39294?

We will first find the prime factorization of 39285 and 39294. After we will calculate the factors of 39285 and 39294 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 39294

Prime factors of 39294 are 2, 3, 37, 59. Prime factorization of 39294 in exponential form is:

39294 = 2¹ × 3² × 37¹ × 59¹

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 39294

List of positive integer factors of 39294 that divides 39285 without a remainder.

1, 2, 3, 6, 9, 18, 37, 59, 74, 111, 118, 177, 222, 333, 354, 531, 666, 1062, 2183, 4366, 6549, 13098, 19647

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39285 and 39294. The biggest common factor number is the GCF number.
So the greatest common factor 39285 and 39294 is 9.

Also check out the Least Common Multiple of 39285 and 39294