Greatest Common Factor of 6480 and 6487

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, 6487 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6480 and 6487 is 1.

GCF(6480,6487) = 1

GCF of 6480 and 6487

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

GCF of:
and

Greatest Common Factor of 6480 and 6487

GCF of 6480 and 6487 is 1

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 6487


13 6487
499 499
1

Prime factors of 6487 are 13,499. Prime factorization of 6487 in exponential form is:

6487 = 131×4991

∴ So by taking common prime factors GCF of 6480 and 6487 is 1

Greatest Common Factor of 6480 and 6487 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 6487

List of positive integer factors of 6487 that divides 6487 without a remainder.

1,13,499,6487

Greatest Common Factor

We found the factors and prime factorization of 6480 and 6487. The biggest common factor number is the GCF number.
So the greatest common factor 6480 and 6487 is 1.

Also check out the Least Common Multiple of 6480 and 6487

Properties of GCF 6480 and 6487

(i) The GCF of 6480 and 6487 is associative

GCF of 6480 and 6487 = GCF of 6487 and 6480

Related Greatest Common Factor of 6480

Related Greatest Common Factor of 6487

Frequently Asked Questions on GCF of 6480 and 6487

1. What is the GCF of 6480 and 6487?

Answer: GCF of 6480 and 6487 is 1.

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 6487?

Answer: Factors of 6487 are 1, 13, 499, 6487. There are 4 integers that are factors of 6487. The greatest factor of 6487 is 6487.

4. How to Find the GCF of 6480 and 6487?

Answer:

Greatest Common Factor of 6480 and 6487 = 1

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 6487

6487 = 13 x 499

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 6480 and 6487 is 1