What is the Greatest Common Factor of 18264 and 18283?

Greatest common factor (GCF) of 18264 and 18283 is 1.

GCF(18264,18283) = 1

We will now calculate the prime factors of 18264 and 18283, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18264 and 18283.

How to find the GCF of 18264 and 18283?

We will first find the prime factorization of 18264 and 18283. After we will calculate the factors of 18264 and 18283 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 18283

Prime factors of 18283 are 47, 389. Prime factorization of 18283 in exponential form is:

18283 = 47¹ × 389¹

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 18283

List of positive integer factors of 18283 that divides 18264 without a remainder.

1, 47, 389

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18264 and 18283. The biggest common factor number is the GCF number.
So the greatest common factor 18264 and 18283 is 1.

Also check out the Least Common Multiple of 18264 and 18283