What is the Greatest Common Factor of 18333 and 18347?

Greatest common factor (GCF) of 18333 and 18347 is 7.

GCF(18333,18347) = 7

We will now calculate the prime factors of 18333 and 18347, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18333 and 18347.

How to find the GCF of 18333 and 18347?

We will first find the prime factorization of 18333 and 18347. After we will calculate the factors of 18333 and 18347 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 18347

Prime factors of 18347 are 7, 2621. Prime factorization of 18347 in exponential form is:

18347 = 7¹ × 2621¹

Step-3: Factors of 18333

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

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

Step-4: Factors of 18347

List of positive integer factors of 18347 that divides 18333 without a remainder.

1, 7, 2621

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18333 and 18347. The biggest common factor number is the GCF number.
So the greatest common factor 18333 and 18347 is 7.

Also check out the Least Common Multiple of 18333 and 18347