What is the Greatest Common Factor of 6303 and 6309?

Greatest common factor (GCF) of 6303 and 6309 is 3.

GCF(6303,6309) = 3

We will now calculate the prime factors of 6303 and 6309, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6303 and 6309.

How to find the GCF of 6303 and 6309?

We will first find the prime factorization of 6303 and 6309. After we will calculate the factors of 6303 and 6309 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 6309

Prime factors of 6309 are 3, 701. Prime factorization of 6309 in exponential form is:

6309 = 3² × 701¹

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 6309

List of positive integer factors of 6309 that divides 6303 without a remainder.

1, 3, 9, 701, 2103

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6303 and 6309. The biggest common factor number is the GCF number.
So the greatest common factor 6303 and 6309 is 3.

Also check out the Least Common Multiple of 6303 and 6309