Greatest Common Factor of 6477 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 6477, 6480 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6477 and 6480 is 3.

GCF(6477,6480) = 3

GCF of 6477 and 6480

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

GCF of:
and

Greatest Common Factor of 6477 and 6480

GCF of 6477 and 6480 is 3

Prime Factorization of 6477


3 6477
17 2159
127 127
1

Prime factors of 6477 are 3,17,127. Prime factorization of 6477 in exponential form is:

6477 = 31×171×1271

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 6477 and 6480 is 3

Greatest Common Factor of 6477 and 6480 by matching factors method

Factors of 6477

List of positive integer factors of 6477 that divides 6477 without a remainder.

1,3,17,51,127,381,2159,6477

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 6477 and 6480. The biggest common factor number is the GCF number.
So the greatest common factor 6477 and 6480 is 3.

Also check out the Least Common Multiple of 6477 and 6480

Properties of GCF 6477 and 6480

(i) The GCF of 6477 and 6480 is associative

GCF of 6477 and 6480 = GCF of 6480 and 6477

Related Greatest Common Factor of 6477

Related Greatest Common Factor of 6480

Frequently Asked Questions on GCF of 6477 and 6480

1. What is the GCF of 6477 and 6480?

Answer: GCF of 6477 and 6480 is 3.

2. What are the Factors of 6477?

Answer: Factors of 6477 are 1, 3, 17, 51, 127, 381, 2159, 6477. There are 8 integers that are factors of 6477. The greatest factor of 6477 is 6477.

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 6477 and 6480?

Answer:

Greatest Common Factor of 6477 and 6480 = 3

Step 1: Find the prime factorization of 6477

6477 = 3 x 17 x 127

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 = 3

Step 4: Therefore, the greatest common factor of 6477 and 6480 is 3