What is the Greatest Common Factor of 9315 and 9335?

Greatest common factor (GCF) of 9315 and 9335 is 5.

GCF(9315,9335) = 5

We will now calculate the prime factors of 9315 and 9335, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9315 and 9335.

How to find the GCF of 9315 and 9335?

We will first find the prime factorization of 9315 and 9335. After we will calculate the factors of 9315 and 9335 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 9335

Prime factors of 9335 are 5, 1867. Prime factorization of 9335 in exponential form is:

9335 = 5¹ × 1867¹

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 9335

List of positive integer factors of 9335 that divides 9315 without a remainder.

1, 5, 1867

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9315 and 9335. The biggest common factor number is the GCF number.
So the greatest common factor 9315 and 9335 is 5.

Also check out the Least Common Multiple of 9315 and 9335