What is the Greatest Common Factor of 18323 and 18336?

Greatest common factor (GCF) of 18323 and 18336 is 1.

GCF(18323,18336) = 1

We will now calculate the prime factors of 18323 and 18336, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18323 and 18336.

How to find the GCF of 18323 and 18336?

We will first find the prime factorization of 18323 and 18336. After we will calculate the factors of 18323 and 18336 and find the biggest common factor number .

Step-1: Prime Factorization of 18323

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

18323 = 73¹ × 251¹

Step-2: Prime Factorization of 18336

Prime factors of 18336 are 2, 3, 191. Prime factorization of 18336 in exponential form is:

18336 = 2⁵ × 3¹ × 191¹

Step-3: Factors of 18323

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

1, 73, 251

Step-4: Factors of 18336

List of positive integer factors of 18336 that divides 18323 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 191, 382, 573, 764, 1146, 1528, 2292, 3056, 4584, 6112, 9168

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18323 and 18336. The biggest common factor number is the GCF number.
So the greatest common factor 18323 and 18336 is 1.

Also check out the Least Common Multiple of 18323 and 18336