What is the Greatest Common Factor of 6459 and 6471?

Greatest common factor (GCF) of 6459 and 6471 is 3.

GCF(6459,6471) = 3

We will now calculate the prime factors of 6459 and 6471, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6459 and 6471.

How to find the GCF of 6459 and 6471?

We will first find the prime factorization of 6459 and 6471. After we will calculate the factors of 6459 and 6471 and find the biggest common factor number .

Step-1: Prime Factorization of 6459

Prime factors of 6459 are 3, 2153. Prime factorization of 6459 in exponential form is:

6459 = 3¹ × 2153¹

Step-2: Prime Factorization of 6471

Prime factors of 6471 are 3, 719. Prime factorization of 6471 in exponential form is:

6471 = 3² × 719¹

Step-3: Factors of 6459

List of positive integer factors of 6459 that divides 6459 without a remainder.

1, 3, 2153

Step-4: Factors of 6471

List of positive integer factors of 6471 that divides 6459 without a remainder.

1, 3, 9, 719, 2157

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6459 and 6471. The biggest common factor number is the GCF number.
So the greatest common factor 6459 and 6471 is 3.

Also check out the Least Common Multiple of 6459 and 6471