What is the Greatest Common Factor of 18264 and 18269?

Greatest common factor (GCF) of 18264 and 18269 is 1.

GCF(18264,18269) = 1

We will now calculate the prime factors of 18264 and 18269, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18264 and 18269.

How to find the GCF of 18264 and 18269?

We will first find the prime factorization of 18264 and 18269. After we will calculate the factors of 18264 and 18269 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 18269

Prime factors of 18269 are 18269. Prime factorization of 18269 in exponential form is:

18269 = 18269¹

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 18269

List of positive integer factors of 18269 that divides 18264 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18264 and 18269. The biggest common factor number is the GCF number.
So the greatest common factor 18264 and 18269 is 1.

Also check out the Least Common Multiple of 18264 and 18269