What is the Greatest Common Factor of 39315 and 39330?

Greatest common factor (GCF) of 39315 and 39330 is 15.

GCF(39315,39330) = 15

We will now calculate the prime factors of 39315 and 39330, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39315 and 39330.

How to find the GCF of 39315 and 39330?

We will first find the prime factorization of 39315 and 39330. After we will calculate the factors of 39315 and 39330 and find the biggest common factor number .

Step-1: Prime Factorization of 39315

Prime factors of 39315 are 3, 5, 2621. Prime factorization of 39315 in exponential form is:

39315 = 3¹ × 5¹ × 2621¹

Step-2: Prime Factorization of 39330

Prime factors of 39330 are 2, 3, 5, 19, 23. Prime factorization of 39330 in exponential form is:

39330 = 2¹ × 3² × 5¹ × 19¹ × 23¹

Step-3: Factors of 39315

List of positive integer factors of 39315 that divides 39315 without a remainder.

1, 3, 5, 15, 2621, 7863, 13105

Step-4: Factors of 39330

List of positive integer factors of 39330 that divides 39315 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 19, 23, 30, 38, 45, 46, 57, 69, 90, 95, 114, 115, 138, 171, 190, 207, 230, 285, 342, 345, 414, 437, 570, 690, 855, 874, 1035, 1311, 1710, 2070, 2185, 2622, 3933, 4370, 6555, 7866, 13110, 19665

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39315 and 39330. The biggest common factor number is the GCF number.
So the greatest common factor 39315 and 39330 is 15.

Also check out the Least Common Multiple of 39315 and 39330