What is the Greatest Common Factor of 6480 and 6497?

Greatest common factor (GCF) of 6480 and 6497 is 1.

GCF(6480,6497) = 1

We will now calculate the prime factors of 6480 and 6497, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6480 and 6497.

How to find the GCF of 6480 and 6497?

We will first find the prime factorization of 6480 and 6497. After we will calculate the factors of 6480 and 6497 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 6497

Prime factors of 6497 are 73, 89. Prime factorization of 6497 in exponential form is:

6497 = 73¹ × 89¹

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 6497

List of positive integer factors of 6497 that divides 6480 without a remainder.

1, 73, 89

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6480 and 6497. The biggest common factor number is the GCF number.
So the greatest common factor 6480 and 6497 is 1.

Also check out the Least Common Multiple of 6480 and 6497