What is the Greatest Common Factor of 18264 and 18284?

Greatest common factor (GCF) of 18264 and 18284 is 4.

GCF(18264,18284) = 4

We will now calculate the prime factors of 18264 and 18284, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18264 and 18284.

How to find the GCF of 18264 and 18284?

We will first find the prime factorization of 18264 and 18284. After we will calculate the factors of 18264 and 18284 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 18284

Prime factors of 18284 are 2, 7, 653. Prime factorization of 18284 in exponential form is:

18284 = 2² × 7¹ × 653¹

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 18284

List of positive integer factors of 18284 that divides 18264 without a remainder.

1, 2, 4, 7, 14, 28, 653, 1306, 2612, 4571, 9142

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18264 and 18284. The biggest common factor number is the GCF number.
So the greatest common factor 18264 and 18284 is 4.

Also check out the Least Common Multiple of 18264 and 18284