What is the Greatest Common Factor of 6480 and 6498?

Greatest common factor (GCF) of 6480 and 6498 is 18.

GCF(6480,6498) = 18

We will now calculate the prime factors of 6480 and 6498, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6480 and 6498.

How to find the GCF of 6480 and 6498?

We will first find the prime factorization of 6480 and 6498. After we will calculate the factors of 6480 and 6498 and find the biggest common factor number .

Step-1: Prime Factorization of 6480

Prime factors of 6480 are 2, 3, 5. Prime factorization of 6480 in exponential form is:

6480 = 2⁴ × 3⁴ × 5¹

Step-2: Prime Factorization of 6498

Prime factors of 6498 are 2, 3, 19. Prime factorization of 6498 in exponential form is:

6498 = 2¹ × 3² × 19²

Step-3: Factors of 6480

List of positive integer factors of 6480 that divides 6480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 27, 30, 36, 40, 45, 48, 54, 60, 72, 80, 81, 90, 108, 120, 135, 144, 162, 180, 216, 240, 270, 324, 360, 405, 432, 540, 648, 720, 810, 1080, 1296, 1620, 2160, 3240

Step-4: Factors of 6498

List of positive integer factors of 6498 that divides 6480 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342, 361, 722, 1083, 2166, 3249

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6480 and 6498. The biggest common factor number is the GCF number.
So the greatest common factor 6480 and 6498 is 18.

Also check out the Least Common Multiple of 6480 and 6498