What is the Greatest Common Factor of 6480 and 6490?

Greatest common factor (GCF) of 6480 and 6490 is 10.

GCF(6480,6490) = 10

We will now calculate the prime factors of 6480 and 6490, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6480 and 6490.

How to find the GCF of 6480 and 6490?

We will first find the prime factorization of 6480 and 6490. After we will calculate the factors of 6480 and 6490 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 6490

Prime factors of 6490 are 2, 5, 11, 59. Prime factorization of 6490 in exponential form is:

6490 = 2¹ × 5¹ × 11¹ × 59¹

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 6490

List of positive integer factors of 6490 that divides 6480 without a remainder.

1, 2, 5, 10, 11, 22, 55, 59, 110, 118, 295, 590, 649, 1298, 3245

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6480 and 6490. The biggest common factor number is the GCF number.
So the greatest common factor 6480 and 6490 is 10.

Also check out the Least Common Multiple of 6480 and 6490