What is the Greatest Common Factor of 9360 and 9375?

Greatest common factor (GCF) of 9360 and 9375 is 15.

GCF(9360,9375) = 15

We will now calculate the prime factors of 9360 and 9375, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9360 and 9375.

How to find the GCF of 9360 and 9375?

We will first find the prime factorization of 9360 and 9375. After we will calculate the factors of 9360 and 9375 and find the biggest common factor number .

Step-1: Prime Factorization of 9360

Prime factors of 9360 are 2, 3, 5, 13. Prime factorization of 9360 in exponential form is:

9360 = 2⁴ × 3² × 5¹ × 13¹

Step-2: Prime Factorization of 9375

Prime factors of 9375 are 3, 5. Prime factorization of 9375 in exponential form is:

9375 = 3¹ × 5⁵

Step-3: Factors of 9360

List of positive integer factors of 9360 that divides 9360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 13, 15, 16, 18, 20, 24, 26, 30, 36, 39, 40, 45, 48, 52, 60, 65, 72, 78, 80, 90, 104, 117, 120, 130, 144, 156, 180, 195, 208, 234, 240, 260, 312, 360, 390, 468, 520, 585, 624, 720, 780, 936, 1040, 1170, 1560, 1872, 2340, 3120, 4680

Step-4: Factors of 9375

List of positive integer factors of 9375 that divides 9360 without a remainder.

1, 3, 5, 15, 25, 75, 125, 375, 625, 1875, 3125

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9360 and 9375. The biggest common factor number is the GCF number.
So the greatest common factor 9360 and 9375 is 15.

Also check out the Least Common Multiple of 9360 and 9375