What is the Greatest Common Factor of 9300 and 9315?

Greatest common factor (GCF) of 9300 and 9315 is 15.

GCF(9300,9315) = 15

We will now calculate the prime factors of 9300 and 9315, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9300 and 9315.

How to find the GCF of 9300 and 9315?

We will first find the prime factorization of 9300 and 9315. After we will calculate the factors of 9300 and 9315 and find the biggest common factor number .

Step-1: Prime Factorization of 9300

Prime factors of 9300 are 2, 3, 5, 31. Prime factorization of 9300 in exponential form is:

9300 = 2² × 3¹ × 5² × 31¹

Step-2: 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-3: Factors of 9300

List of positive integer factors of 9300 that divides 9300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 31, 50, 60, 62, 75, 93, 100, 124, 150, 155, 186, 300, 310, 372, 465, 620, 775, 930, 1550, 1860, 2325, 3100, 4650

Step-4: Factors of 9315

List of positive integer factors of 9315 that divides 9300 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9300 and 9315. The biggest common factor number is the GCF number.
So the greatest common factor 9300 and 9315 is 15.

Also check out the Least Common Multiple of 9300 and 9315