Greatest Common Factor of 6480 and 6484

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, 6484 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6480 and 6484 is 4.

GCF(6480,6484) = 4

GCF of 6480 and 6484

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

GCF of:
and

Greatest Common Factor of 6480 and 6484

GCF of 6480 and 6484 is 4

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 6484


2 6484
2 3242
1621 1621
1

Prime factors of 6484 are 2,1621. Prime factorization of 6484 in exponential form is:

6484 = 22×16211

∴ So by taking common prime factors GCF of 6480 and 6484 is 4

Greatest Common Factor of 6480 and 6484 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 6484

List of positive integer factors of 6484 that divides 6484 without a remainder.

1,2,4,1621,3242,6484

Greatest Common Factor

We found the factors and prime factorization of 6480 and 6484. The biggest common factor number is the GCF number.
So the greatest common factor 6480 and 6484 is 4.

Also check out the Least Common Multiple of 6480 and 6484

Properties of GCF 6480 and 6484

(i) The GCF of 6480 and 6484 is associative

GCF of 6480 and 6484 = GCF of 6484 and 6480

Related Greatest Common Factor of 6480

Related Greatest Common Factor of 6484

Frequently Asked Questions on GCF of 6480 and 6484

1. What is the GCF of 6480 and 6484?

Answer: GCF of 6480 and 6484 is 4.

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 6484?

Answer: Factors of 6484 are 1, 2, 4, 1621, 3242, 6484. There are 6 integers that are factors of 6484. The greatest factor of 6484 is 6484.

4. How to Find the GCF of 6480 and 6484?

Answer:

Greatest Common Factor of 6480 and 6484 = 4

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 6484

6484 = 2 x 2 x 1621

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 6480 and 6484 is 4