What is the Greatest Common Factor of 18360 and 18370?

Greatest common factor (GCF) of 18360 and 18370 is 10.

GCF(18360,18370) = 10

We will now calculate the prime factors of 18360 and 18370, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18360 and 18370.

How to find the GCF of 18360 and 18370?

We will first find the prime factorization of 18360 and 18370. After we will calculate the factors of 18360 and 18370 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 18370

Prime factors of 18370 are 2, 5, 11, 167. Prime factorization of 18370 in exponential form is:

18370 = 2¹ × 5¹ × 11¹ × 167¹

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 18370

List of positive integer factors of 18370 that divides 18360 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 167, 334, 835, 1670, 1837, 3674, 9185

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18360 and 18370. The biggest common factor number is the GCF number.
So the greatest common factor 18360 and 18370 is 10.

Also check out the Least Common Multiple of 18360 and 18370