What is the Greatest Common Factor of 18360 and 18371?

Greatest common factor (GCF) of 18360 and 18371 is 1.

GCF(18360,18371) = 1

We will now calculate the prime factors of 18360 and 18371, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18360 and 18371.

How to find the GCF of 18360 and 18371?

We will first find the prime factorization of 18360 and 18371. After we will calculate the factors of 18360 and 18371 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 18371

Prime factors of 18371 are 18371. Prime factorization of 18371 in exponential form is:

18371 = 18371¹

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 18371

List of positive integer factors of 18371 that divides 18360 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18360 and 18371. The biggest common factor number is the GCF number.
So the greatest common factor 18360 and 18371 is 1.

Also check out the Least Common Multiple of 18360 and 18371