What is the Greatest Common Factor of 18360 and 18375?

Greatest common factor (GCF) of 18360 and 18375 is 15.

GCF(18360,18375) = 15

We will now calculate the prime factors of 18360 and 18375, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18360 and 18375.

How to find the GCF of 18360 and 18375?

We will first find the prime factorization of 18360 and 18375. After we will calculate the factors of 18360 and 18375 and find the biggest common factor number .

Step-1: Prime Factorization of 18360

Prime factors of 18360 are 2, 3, 5, 17. Prime factorization of 18360 in exponential form is:

18360 = 2³ × 3³ × 5¹ × 17¹

Step-2: Prime Factorization of 18375

Prime factors of 18375 are 3, 5, 7. Prime factorization of 18375 in exponential form is:

18375 = 3¹ × 5³ × 7²

Step-3: Factors of 18360

List of positive integer factors of 18360 that divides 18360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 17, 18, 20, 24, 27, 30, 34, 36, 40, 45, 51, 54, 60, 68, 72, 85, 90, 102, 108, 120, 135, 136, 153, 170, 180, 204, 216, 255, 270, 306, 340, 360, 408, 459, 510, 540, 612, 680, 765, 918, 1020, 1080, 1224, 1530, 1836, 2040, 2295, 3060, 3672, 4590, 6120, 9180

Step-4: Factors of 18375

List of positive integer factors of 18375 that divides 18360 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 49, 75, 105, 125, 147, 175, 245, 375, 525, 735, 875, 1225, 2625, 3675, 6125

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18360 and 18375. The biggest common factor number is the GCF number.
So the greatest common factor 18360 and 18375 is 15.

Also check out the Least Common Multiple of 18360 and 18375