What is the Greatest Common Factor of 96315 and 96330?

Greatest common factor (GCF) of 96315 and 96330 is 15.

GCF(96315,96330) = 15

We will now calculate the prime factors of 96315 and 96330, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96315 and 96330.

How to find the GCF of 96315 and 96330?

We will first find the prime factorization of 96315 and 96330. After we will calculate the factors of 96315 and 96330 and find the biggest common factor number .

Step-1: Prime Factorization of 96315

Prime factors of 96315 are 3, 5, 6421. Prime factorization of 96315 in exponential form is:

96315 = 3¹ × 5¹ × 6421¹

Step-2: Prime Factorization of 96330

Prime factors of 96330 are 2, 3, 5, 13, 19. Prime factorization of 96330 in exponential form is:

96330 = 2¹ × 3¹ × 5¹ × 13² × 19¹

Step-3: Factors of 96315

List of positive integer factors of 96315 that divides 96315 without a remainder.

1, 3, 5, 15, 6421, 19263, 32105

Step-4: Factors of 96330

List of positive integer factors of 96330 that divides 96315 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 19, 26, 30, 38, 39, 57, 65, 78, 95, 114, 130, 169, 190, 195, 247, 285, 338, 390, 494, 507, 570, 741, 845, 1014, 1235, 1482, 1690, 2470, 2535, 3211, 3705, 5070, 6422, 7410, 9633, 16055, 19266, 32110, 48165

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96315 and 96330. The biggest common factor number is the GCF number.
So the greatest common factor 96315 and 96330 is 15.

Also check out the Least Common Multiple of 96315 and 96330