What is the Greatest Common Factor of 6468 and 6480?

Greatest common factor (GCF) of 6468 and 6480 is 12.

GCF(6468,6480) = 12

We will now calculate the prime factors of 6468 and 6480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6468 and 6480.

How to find the GCF of 6468 and 6480?

We will first find the prime factorization of 6468 and 6480. After we will calculate the factors of 6468 and 6480 and find the biggest common factor number .

Step-1: Prime Factorization of 6468

Prime factors of 6468 are 2, 3, 7, 11. Prime factorization of 6468 in exponential form is:

6468 = 2² × 3¹ × 7² × 11¹

Step-2: 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-3: Factors of 6468

List of positive integer factors of 6468 that divides 6468 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 49, 66, 77, 84, 98, 132, 147, 154, 196, 231, 294, 308, 462, 539, 588, 924, 1078, 1617, 2156, 3234

Step-4: Factors of 6480

List of positive integer factors of 6480 that divides 6468 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6468 and 6480. The biggest common factor number is the GCF number.
So the greatest common factor 6468 and 6480 is 12.

Also check out the Least Common Multiple of 6468 and 6480