What is the Greatest Common Factor of 6303 and 6318?

Greatest common factor (GCF) of 6303 and 6318 is 3.

GCF(6303,6318) = 3

We will now calculate the prime factors of 6303 and 6318, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6303 and 6318.

How to find the GCF of 6303 and 6318?

We will first find the prime factorization of 6303 and 6318. After we will calculate the factors of 6303 and 6318 and find the biggest common factor number .

Step-1: Prime Factorization of 6303

Prime factors of 6303 are 3, 11, 191. Prime factorization of 6303 in exponential form is:

6303 = 3¹ × 11¹ × 191¹

Step-2: Prime Factorization of 6318

Prime factors of 6318 are 2, 3, 13. Prime factorization of 6318 in exponential form is:

6318 = 2¹ × 3⁵ × 13¹

Step-3: Factors of 6303

List of positive integer factors of 6303 that divides 6303 without a remainder.

1, 3, 11, 33, 191, 573, 2101

Step-4: Factors of 6318

List of positive integer factors of 6318 that divides 6303 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 81, 117, 162, 234, 243, 351, 486, 702, 1053, 2106, 3159

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6303 and 6318. The biggest common factor number is the GCF number.
So the greatest common factor 6303 and 6318 is 3.

Also check out the Least Common Multiple of 6303 and 6318