What is the Greatest Common Factor of 9315 and 9330?

Greatest common factor (GCF) of 9315 and 9330 is 15.

GCF(9315,9330) = 15

We will now calculate the prime factors of 9315 and 9330, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9315 and 9330.

How to find the GCF of 9315 and 9330?

We will first find the prime factorization of 9315 and 9330. After we will calculate the factors of 9315 and 9330 and find the biggest common factor number .

Step-1: Prime Factorization of 9315

Prime factors of 9315 are 3, 5, 23. Prime factorization of 9315 in exponential form is:

9315 = 3⁴ × 5¹ × 23¹

Step-2: Prime Factorization of 9330

Prime factors of 9330 are 2, 3, 5, 311. Prime factorization of 9330 in exponential form is:

9330 = 2¹ × 3¹ × 5¹ × 311¹

Step-3: Factors of 9315

List of positive integer factors of 9315 that divides 9315 without a remainder.

1, 3, 5, 9, 15, 23, 27, 45, 69, 81, 115, 135, 207, 345, 405, 621, 1035, 1863, 3105

Step-4: Factors of 9330

List of positive integer factors of 9330 that divides 9315 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 311, 622, 933, 1555, 1866, 3110, 4665

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9315 and 9330. The biggest common factor number is the GCF number.
So the greatest common factor 9315 and 9330 is 15.

Also check out the Least Common Multiple of 9315 and 9330