What is the Greatest Common Factor of 6480 and 6496?

Greatest common factor (GCF) of 6480 and 6496 is 16.

GCF(6480,6496) = 16

We will now calculate the prime factors of 6480 and 6496, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6480 and 6496.

How to find the GCF of 6480 and 6496?

We will first find the prime factorization of 6480 and 6496. After we will calculate the factors of 6480 and 6496 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 6496

Prime factors of 6496 are 2, 7, 29. Prime factorization of 6496 in exponential form is:

6496 = 2⁵ × 7¹ × 29¹

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 6496

List of positive integer factors of 6496 that divides 6480 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 29, 32, 56, 58, 112, 116, 203, 224, 232, 406, 464, 812, 928, 1624, 3248

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6480 and 6496. The biggest common factor number is the GCF number.
So the greatest common factor 6480 and 6496 is 16.

Also check out the Least Common Multiple of 6480 and 6496