What is the Greatest Common Factor of 6279 and 6297?

Greatest common factor (GCF) of 6279 and 6297 is 3.

GCF(6279,6297) = 3

We will now calculate the prime factors of 6279 and 6297, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6279 and 6297.

How to find the GCF of 6279 and 6297?

We will first find the prime factorization of 6279 and 6297. After we will calculate the factors of 6279 and 6297 and find the biggest common factor number .

Step-1: Prime Factorization of 6279

Prime factors of 6279 are 3, 7, 13, 23. Prime factorization of 6279 in exponential form is:

6279 = 3¹ × 7¹ × 13¹ × 23¹

Step-2: Prime Factorization of 6297

Prime factors of 6297 are 3, 2099. Prime factorization of 6297 in exponential form is:

6297 = 3¹ × 2099¹

Step-3: Factors of 6279

List of positive integer factors of 6279 that divides 6279 without a remainder.

1, 3, 7, 13, 21, 23, 39, 69, 91, 161, 273, 299, 483, 897, 2093

Step-4: Factors of 6297

List of positive integer factors of 6297 that divides 6279 without a remainder.

1, 3, 2099

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6279 and 6297. The biggest common factor number is the GCF number.
So the greatest common factor 6279 and 6297 is 3.

Also check out the Least Common Multiple of 6279 and 6297