What is the Greatest Common Factor of 18304 and 18323?

Greatest common factor (GCF) of 18304 and 18323 is 1.

GCF(18304,18323) = 1

We will now calculate the prime factors of 18304 and 18323, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18304 and 18323.

How to find the GCF of 18304 and 18323?

We will first find the prime factorization of 18304 and 18323. After we will calculate the factors of 18304 and 18323 and find the biggest common factor number .

Step-1: Prime Factorization of 18304

Prime factors of 18304 are 2, 11, 13. Prime factorization of 18304 in exponential form is:

18304 = 2⁷ × 11¹ × 13¹

Step-2: Prime Factorization of 18323

Prime factors of 18323 are 73, 251. Prime factorization of 18323 in exponential form is:

18323 = 73¹ × 251¹

Step-3: Factors of 18304

List of positive integer factors of 18304 that divides 18304 without a remainder.

1, 2, 4, 8, 11, 13, 16, 22, 26, 32, 44, 52, 64, 88, 104, 128, 143, 176, 208, 286, 352, 416, 572, 704, 832, 1144, 1408, 1664, 2288, 4576, 9152

Step-4: Factors of 18323

List of positive integer factors of 18323 that divides 18304 without a remainder.

1, 73, 251

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18304 and 18323. The biggest common factor number is the GCF number.
So the greatest common factor 18304 and 18323 is 1.

Also check out the Least Common Multiple of 18304 and 18323