Greatest Common Factor of 6800 and 6805

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 6800, 6805 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6800 and 6805 is 5.

GCF(6800,6805) = 5

GCF of 6800 and 6805

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

GCF of:
and

Greatest Common Factor of 6800 and 6805

GCF of 6800 and 6805 is 5

Prime Factorization of 6800


2 6800
2 3400
2 1700
2 850
5 425
5 85
17 17
1

Prime factors of 6800 are 2,5,17. Prime factorization of 6800 in exponential form is:

6800 = 24×52×171

Prime Factorization of 6805


5 6805
1361 1361
1

Prime factors of 6805 are 5,1361. Prime factorization of 6805 in exponential form is:

6805 = 51×13611

∴ So by taking common prime factors GCF of 6800 and 6805 is 5

Greatest Common Factor of 6800 and 6805 by matching factors method

Factors of 6800

List of positive integer factors of 6800 that divides 6800 without a remainder.

1,2,4,5,8,10,16,17,20,25,34,40,50,68,80,85,100,136,170,200,272,340,400,425,680,850,1360,1700,3400,6800

Factors of 6805

List of positive integer factors of 6805 that divides 6805 without a remainder.

1,5,1361,6805

Greatest Common Factor

We found the factors and prime factorization of 6800 and 6805. The biggest common factor number is the GCF number.
So the greatest common factor 6800 and 6805 is 5.

Also check out the Least Common Multiple of 6800 and 6805

Properties of GCF 6800 and 6805

(i) The GCF of 6800 and 6805 is associative

GCF of 6800 and 6805 = GCF of 6805 and 6800

Related Greatest Common Factor of 6800

Related Greatest Common Factor of 6805

Frequently Asked Questions on GCF of 6800 and 6805

1. What is the GCF of 6800 and 6805?

Answer: GCF of 6800 and 6805 is 5.

2. What are the Factors of 6800?

Answer: Factors of 6800 are 1, 2, 4, 5, 8, 10, 16, 17, 20, 25, 34, 40, 50, 68, 80, 85, 100, 136, 170, 200, 272, 340, 400, 425, 680, 850, 1360, 1700, 3400, 6800. There are 30 integers that are factors of 6800. The greatest factor of 6800 is 6800.

3. What are the Factors of 6805?

Answer: Factors of 6805 are 1, 5, 1361, 6805. There are 4 integers that are factors of 6805. The greatest factor of 6805 is 6805.

4. How to Find the GCF of 6800 and 6805?

Answer:

Greatest Common Factor of 6800 and 6805 = 5

Step 1: Find the prime factorization of 6800

6800 = 2 x 2 x 2 x 2 x 5 x 5 x 17

Step 2: Find the prime factorization of 6805

6805 = 5 x 1361

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 6800 and 6805 is 5