What is the Greatest Common Factor of 18387 and 18399?

Greatest common factor (GCF) of 18387 and 18399 is 3.

GCF(18387,18399) = 3

We will now calculate the prime factors of 18387 and 18399, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18387 and 18399.

How to find the GCF of 18387 and 18399?

We will first find the prime factorization of 18387 and 18399. After we will calculate the factors of 18387 and 18399 and find the biggest common factor number .

Step-1: Prime Factorization of 18387

Prime factors of 18387 are 3, 227. Prime factorization of 18387 in exponential form is:

18387 = 3⁴ × 227¹

Step-2: Prime Factorization of 18399

Prime factors of 18399 are 3, 6133. Prime factorization of 18399 in exponential form is:

18399 = 3¹ × 6133¹

Step-3: Factors of 18387

List of positive integer factors of 18387 that divides 18387 without a remainder.

1, 3, 9, 27, 81, 227, 681, 2043, 6129

Step-4: Factors of 18399

List of positive integer factors of 18399 that divides 18387 without a remainder.

1, 3, 6133

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18387 and 18399. The biggest common factor number is the GCF number.
So the greatest common factor 18387 and 18399 is 3.

Also check out the Least Common Multiple of 18387 and 18399