What is the Greatest Common Factor of 6303 and 6312?

Greatest common factor (GCF) of 6303 and 6312 is 3.

GCF(6303,6312) = 3

We will now calculate the prime factors of 6303 and 6312, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6303 and 6312.

How to find the GCF of 6303 and 6312?

We will first find the prime factorization of 6303 and 6312. After we will calculate the factors of 6303 and 6312 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 6312

Prime factors of 6312 are 2, 3, 263. Prime factorization of 6312 in exponential form is:

6312 = 2³ × 3¹ × 263¹

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 6312

List of positive integer factors of 6312 that divides 6303 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 263, 526, 789, 1052, 1578, 2104, 3156

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6303 and 6312. The biggest common factor number is the GCF number.
So the greatest common factor 6303 and 6312 is 3.

Also check out the Least Common Multiple of 6303 and 6312