What is the Greatest Common Factor of 18264 and 18276?

Greatest common factor (GCF) of 18264 and 18276 is 12.

GCF(18264,18276) = 12

We will now calculate the prime factors of 18264 and 18276, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18264 and 18276.

How to find the GCF of 18264 and 18276?

We will first find the prime factorization of 18264 and 18276. After we will calculate the factors of 18264 and 18276 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 18276

Prime factors of 18276 are 2, 3, 1523. Prime factorization of 18276 in exponential form is:

18276 = 2² × 3¹ × 1523¹

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 18276

List of positive integer factors of 18276 that divides 18264 without a remainder.

1, 2, 3, 4, 6, 12, 1523, 3046, 4569, 6092, 9138

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18264 and 18276. The biggest common factor number is the GCF number.
So the greatest common factor 18264 and 18276 is 12.

Also check out the Least Common Multiple of 18264 and 18276