Greatest Common Factor of 6475 and 6480

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 6475, 6480 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6475 and 6480 is 5.

GCF(6475,6480) = 5

GCF of 6475 and 6480

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

GCF of:
and

Greatest Common Factor of 6475 and 6480

GCF of 6475 and 6480 is 5

Prime Factorization of 6475


5 6475
5 1295
7 259
37 37
1

Prime factors of 6475 are 5,7,37. Prime factorization of 6475 in exponential form is:

6475 = 52×71×371

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

∴ So by taking common prime factors GCF of 6475 and 6480 is 5

Greatest Common Factor of 6475 and 6480 by matching factors method

Factors of 6475

List of positive integer factors of 6475 that divides 6475 without a remainder.

1,5,7,25,35,37,175,185,259,925,1295,6475

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

Greatest Common Factor

We found the factors and prime factorization of 6475 and 6480. The biggest common factor number is the GCF number.
So the greatest common factor 6475 and 6480 is 5.

Also check out the Least Common Multiple of 6475 and 6480

Properties of GCF 6475 and 6480

(i) The GCF of 6475 and 6480 is associative

GCF of 6475 and 6480 = GCF of 6480 and 6475

Related Greatest Common Factor of 6475

Related Greatest Common Factor of 6480

Frequently Asked Questions on GCF of 6475 and 6480

1. What is the GCF of 6475 and 6480?

Answer: GCF of 6475 and 6480 is 5.

2. What are the Factors of 6475?

Answer: Factors of 6475 are 1, 5, 7, 25, 35, 37, 175, 185, 259, 925, 1295, 6475. There are 12 integers that are factors of 6475. The greatest factor of 6475 is 6475.

3. 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.

4. How to Find the GCF of 6475 and 6480?

Answer:

Greatest Common Factor of 6475 and 6480 = 5

Step 1: Find the prime factorization of 6475

6475 = 5 x 5 x 7 x 37

Step 2: 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 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 6475 and 6480 is 5