What is the Greatest Common Factor of 9315 and 9321?

Greatest common factor (GCF) of 9315 and 9321 is 3.

GCF(9315,9321) = 3

We will now calculate the prime factors of 9315 and 9321, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9315 and 9321.

How to find the GCF of 9315 and 9321?

We will first find the prime factorization of 9315 and 9321. After we will calculate the factors of 9315 and 9321 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 9321

Prime factors of 9321 are 3, 13, 239. Prime factorization of 9321 in exponential form is:

9321 = 3¹ × 13¹ × 239¹

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 9321

List of positive integer factors of 9321 that divides 9315 without a remainder.

1, 3, 13, 39, 239, 717, 3107

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9315 and 9321. The biggest common factor number is the GCF number.
So the greatest common factor 9315 and 9321 is 3.

Also check out the Least Common Multiple of 9315 and 9321