What is the Greatest Common Factor of 18321 and 18333?

Greatest common factor (GCF) of 18321 and 18333 is 3.

GCF(18321,18333) = 3

We will now calculate the prime factors of 18321 and 18333, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18321 and 18333.

How to find the GCF of 18321 and 18333?

We will first find the prime factorization of 18321 and 18333. After we will calculate the factors of 18321 and 18333 and find the biggest common factor number .

Step-1: Prime Factorization of 18321

Prime factors of 18321 are 3, 31, 197. Prime factorization of 18321 in exponential form is:

18321 = 3¹ × 31¹ × 197¹

Step-2: Prime Factorization of 18333

Prime factors of 18333 are 3, 7, 97. Prime factorization of 18333 in exponential form is:

18333 = 3³ × 7¹ × 97¹

Step-3: Factors of 18321

List of positive integer factors of 18321 that divides 18321 without a remainder.

1, 3, 31, 93, 197, 591, 6107

Step-4: Factors of 18333

List of positive integer factors of 18333 that divides 18321 without a remainder.

1, 3, 7, 9, 21, 27, 63, 97, 189, 291, 679, 873, 2037, 2619, 6111

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18321 and 18333. The biggest common factor number is the GCF number.
So the greatest common factor 18321 and 18333 is 3.

Also check out the Least Common Multiple of 18321 and 18333