What is the Greatest Common Factor of 18303 and 18321?

Greatest common factor (GCF) of 18303 and 18321 is 3.

GCF(18303,18321) = 3

We will now calculate the prime factors of 18303 and 18321, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18303 and 18321.

How to find the GCF of 18303 and 18321?

We will first find the prime factorization of 18303 and 18321. After we will calculate the factors of 18303 and 18321 and find the biggest common factor number .

Step-1: Prime Factorization of 18303

Prime factors of 18303 are 3, 6101. Prime factorization of 18303 in exponential form is:

18303 = 3¹ × 6101¹

Step-2: 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-3: Factors of 18303

List of positive integer factors of 18303 that divides 18303 without a remainder.

1, 3, 6101

Step-4: Factors of 18321

List of positive integer factors of 18321 that divides 18303 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18303 and 18321. The biggest common factor number is the GCF number.
So the greatest common factor 18303 and 18321 is 3.

Also check out the Least Common Multiple of 18303 and 18321