What is the Greatest Common Factor of 18360 and 18378?

Greatest common factor (GCF) of 18360 and 18378 is 18.

GCF(18360,18378) = 18

We will now calculate the prime factors of 18360 and 18378, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18360 and 18378.

How to find the GCF of 18360 and 18378?

We will first find the prime factorization of 18360 and 18378. After we will calculate the factors of 18360 and 18378 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 18378

Prime factors of 18378 are 2, 3, 1021. Prime factorization of 18378 in exponential form is:

18378 = 2¹ × 3² × 1021¹

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 18378

List of positive integer factors of 18378 that divides 18360 without a remainder.

1, 2, 3, 6, 9, 18, 1021, 2042, 3063, 6126, 9189

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18360 and 18378. The biggest common factor number is the GCF number.
So the greatest common factor 18360 and 18378 is 18.

Also check out the Least Common Multiple of 18360 and 18378