Greatest Common Factor of 6480 and 6486

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 6480, 6486 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6480 and 6486 is 6.

GCF(6480,6486) = 6

GCF of 6480 and 6486

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 6480 and 6486

GCF of 6480 and 6486 is 6

Prime Factorization of 6480


2 6480
2 3240
2 1620
2 810
3 405
3 135
3 45
3 15
5 5
1

Prime factors of 6480 are 2,3,5. Prime factorization of 6480 in exponential form is:

6480 = 24×34×51

Prime Factorization of 6486


2 6486
3 3243
23 1081
47 47
1

Prime factors of 6486 are 2,3,23,47. Prime factorization of 6486 in exponential form is:

6486 = 21×31×231×471

∴ So by taking common prime factors GCF of 6480 and 6486 is 6

Greatest Common Factor of 6480 and 6486 by matching factors method

Factors of 6480

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

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,27,30,36,40,45,48,54,60,72,80,81,90,108,120,135,144,162,180,216,240,270,324,360,405,432,540,648,720,810,1080,1296,1620,2160,3240,6480

Factors of 6486

List of positive integer factors of 6486 that divides 6486 without a remainder.

1,2,3,6,23,46,47,69,94,138,141,282,1081,2162,3243,6486

Greatest Common Factor

We found the factors and prime factorization of 6480 and 6486. The biggest common factor number is the GCF number.
So the greatest common factor 6480 and 6486 is 6.

Also check out the Least Common Multiple of 6480 and 6486

Properties of GCF 6480 and 6486

(i) The GCF of 6480 and 6486 is associative

GCF of 6480 and 6486 = GCF of 6486 and 6480

Related Greatest Common Factor of 6480

Related Greatest Common Factor of 6486

Frequently Asked Questions on GCF of 6480 and 6486

1. What is the GCF of 6480 and 6486?

Answer: GCF of 6480 and 6486 is 6.

2. What are the Factors of 6480?

Answer: Factors of 6480 are 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, 6480. There are 50 integers that are factors of 6480. The greatest factor of 6480 is 6480.

3. What are the Factors of 6486?

Answer: Factors of 6486 are 1, 2, 3, 6, 23, 46, 47, 69, 94, 138, 141, 282, 1081, 2162, 3243, 6486. There are 16 integers that are factors of 6486. The greatest factor of 6486 is 6486.

4. How to Find the GCF of 6480 and 6486?

Answer:

Greatest Common Factor of 6480 and 6486 = 6

Step 1: Find the prime factorization of 6480

6480 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 5

Step 2: Find the prime factorization of 6486

6486 = 2 x 3 x 23 x 47

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 6480 and 6486 is 6