What is the Greatest Common Factor of 6291 and 6303?

Greatest common factor (GCF) of 6291 and 6303 is 3.

GCF(6291,6303) = 3

We will now calculate the prime factors of 6291 and 6303, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6291 and 6303.

How to find the GCF of 6291 and 6303?

We will first find the prime factorization of 6291 and 6303. After we will calculate the factors of 6291 and 6303 and find the biggest common factor number .

Step-1: Prime Factorization of 6291

Prime factors of 6291 are 3, 233. Prime factorization of 6291 in exponential form is:

6291 = 3³ × 233¹

Step-2: 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-3: Factors of 6291

List of positive integer factors of 6291 that divides 6291 without a remainder.

1, 3, 9, 27, 233, 699, 2097

Step-4: Factors of 6303

List of positive integer factors of 6303 that divides 6291 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6291 and 6303. The biggest common factor number is the GCF number.
So the greatest common factor 6291 and 6303 is 3.

Also check out the Least Common Multiple of 6291 and 6303