What is the Greatest Common Factor of 6480 and 6495?

Greatest common factor (GCF) of 6480 and 6495 is 15.

GCF(6480,6495) = 15

We will now calculate the prime factors of 6480 and 6495, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6480 and 6495.

How to find the GCF of 6480 and 6495?

We will first find the prime factorization of 6480 and 6495. After we will calculate the factors of 6480 and 6495 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 6495

Prime factors of 6495 are 3, 5, 433. Prime factorization of 6495 in exponential form is:

6495 = 3¹ × 5¹ × 433¹

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 6495

List of positive integer factors of 6495 that divides 6480 without a remainder.

1, 3, 5, 15, 433, 1299, 2165

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6480 and 6495. The biggest common factor number is the GCF number.
So the greatest common factor 6480 and 6495 is 15.

Also check out the Least Common Multiple of 6480 and 6495