What is the Greatest Common Factor of 39273 and 39285?

Greatest common factor (GCF) of 39273 and 39285 is 3.

GCF(39273,39285) = 3

We will now calculate the prime factors of 39273 and 39285, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39273 and 39285.

How to find the GCF of 39273 and 39285?

We will first find the prime factorization of 39273 and 39285. After we will calculate the factors of 39273 and 39285 and find the biggest common factor number .

Step-1: Prime Factorization of 39273

Prime factors of 39273 are 3, 13, 19, 53. Prime factorization of 39273 in exponential form is:

39273 = 3¹ × 13¹ × 19¹ × 53¹

Step-2: 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-3: Factors of 39273

List of positive integer factors of 39273 that divides 39273 without a remainder.

1, 3, 13, 19, 39, 53, 57, 159, 247, 689, 741, 1007, 2067, 3021, 13091

Step-4: Factors of 39285

List of positive integer factors of 39285 that divides 39273 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39273 and 39285. The biggest common factor number is the GCF number.
So the greatest common factor 39273 and 39285 is 3.

Also check out the Least Common Multiple of 39273 and 39285