Greatest Common Factor of 6480 and 6485

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, 6485 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6480 and 6485 is 5.

GCF(6480,6485) = 5

GCF of 6480 and 6485

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

GCF of:
and

Greatest Common Factor of 6480 and 6485

GCF of 6480 and 6485 is 5

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 6485


5 6485
1297 1297
1

Prime factors of 6485 are 5,1297. Prime factorization of 6485 in exponential form is:

6485 = 51×12971

∴ So by taking common prime factors GCF of 6480 and 6485 is 5

Greatest Common Factor of 6480 and 6485 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 6485

List of positive integer factors of 6485 that divides 6485 without a remainder.

1,5,1297,6485

Greatest Common Factor

We found the factors and prime factorization of 6480 and 6485. The biggest common factor number is the GCF number.
So the greatest common factor 6480 and 6485 is 5.

Also check out the Least Common Multiple of 6480 and 6485

Properties of GCF 6480 and 6485

(i) The GCF of 6480 and 6485 is associative

GCF of 6480 and 6485 = GCF of 6485 and 6480

Related Greatest Common Factor of 6480

Related Greatest Common Factor of 6485

Frequently Asked Questions on GCF of 6480 and 6485

1. What is the GCF of 6480 and 6485?

Answer: GCF of 6480 and 6485 is 5.

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 6485?

Answer: Factors of 6485 are 1, 5, 1297, 6485. There are 4 integers that are factors of 6485. The greatest factor of 6485 is 6485.

4. How to Find the GCF of 6480 and 6485?

Answer:

Greatest Common Factor of 6480 and 6485 = 5

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 6485

6485 = 5 x 1297

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

GCF = 5

Step 4: Therefore, the greatest common factor of 6480 and 6485 is 5