What is the Greatest Common Factor of 18264 and 18279?

Greatest common factor (GCF) of 18264 and 18279 is 3.

GCF(18264,18279) = 3

We will now calculate the prime factors of 18264 and 18279, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18264 and 18279.

How to find the GCF of 18264 and 18279?

We will first find the prime factorization of 18264 and 18279. After we will calculate the factors of 18264 and 18279 and find the biggest common factor number .

Step-1: Prime Factorization of 18264

Prime factors of 18264 are 2, 3, 761. Prime factorization of 18264 in exponential form is:

18264 = 2³ × 3¹ × 761¹

Step-2: Prime Factorization of 18279

Prime factors of 18279 are 3, 677. Prime factorization of 18279 in exponential form is:

18279 = 3³ × 677¹

Step-3: Factors of 18264

List of positive integer factors of 18264 that divides 18264 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 761, 1522, 2283, 3044, 4566, 6088, 9132

Step-4: Factors of 18279

List of positive integer factors of 18279 that divides 18264 without a remainder.

1, 3, 9, 27, 677, 2031, 6093

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18264 and 18279. The biggest common factor number is the GCF number.
So the greatest common factor 18264 and 18279 is 3.

Also check out the Least Common Multiple of 18264 and 18279