What is the Greatest Common Factor of 12360 and 12375?

Greatest common factor (GCF) of 12360 and 12375 is 15.

GCF(12360,12375) = 15

We will now calculate the prime factors of 12360 and 12375, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12360 and 12375.

How to find the GCF of 12360 and 12375?

We will first find the prime factorization of 12360 and 12375. After we will calculate the factors of 12360 and 12375 and find the biggest common factor number .

Step-1: Prime Factorization of 12360

Prime factors of 12360 are 2, 3, 5, 103. Prime factorization of 12360 in exponential form is:

12360 = 2³ × 3¹ × 5¹ × 103¹

Step-2: Prime Factorization of 12375

Prime factors of 12375 are 3, 5, 11. Prime factorization of 12375 in exponential form is:

12375 = 3² × 5³ × 11¹

Step-3: Factors of 12360

List of positive integer factors of 12360 that divides 12360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 103, 120, 206, 309, 412, 515, 618, 824, 1030, 1236, 1545, 2060, 2472, 3090, 4120, 6180

Step-4: Factors of 12375

List of positive integer factors of 12375 that divides 12360 without a remainder.

1, 3, 5, 9, 11, 15, 25, 33, 45, 55, 75, 99, 125, 165, 225, 275, 375, 495, 825, 1125, 1375, 2475, 4125

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12360 and 12375. The biggest common factor number is the GCF number.
So the greatest common factor 12360 and 12375 is 15.

Also check out the Least Common Multiple of 12360 and 12375