Greatest Common Factor of 800 and 805

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 800, 805 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 800 and 805 is 5.

GCF(800,805) = 5

GCF of 800 and 805

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

GCF of:
and

Greatest Common Factor of 800 and 805

GCF of 800 and 805 is 5

Prime Factorization of 800


2 800
2 400
2 200
2 100
2 50
5 25
5 5
1

Prime factors of 800 are 2,5. Prime factorization of 800 in exponential form is:

800 = 25×52

Prime Factorization of 805


5 805
7 161
23 23
1

Prime factors of 805 are 5,7,23. Prime factorization of 805 in exponential form is:

805 = 51×71×231

∴ So by taking common prime factors GCF of 800 and 805 is 5

Greatest Common Factor of 800 and 805 by matching factors method

Factors of 800

List of positive integer factors of 800 that divides 800 without a remainder.

1,2,4,5,8,10,16,20,25,32,40,50,80,100,160,200,400,800

Factors of 805

List of positive integer factors of 805 that divides 805 without a remainder.

1,5,7,23,35,115,161,805

Greatest Common Factor

We found the factors and prime factorization of 800 and 805. The biggest common factor number is the GCF number.
So the greatest common factor 800 and 805 is 5.

Also check out the Least Common Multiple of 800 and 805

Properties of GCF 800 and 805

(i) The GCF of 800 and 805 is associative

GCF of 800 and 805 = GCF of 805 and 800

Related Greatest Common Factor of 800

Related Greatest Common Factor of 805

Frequently Asked Questions on GCF of 800 and 805

1. What is the GCF of 800 and 805?

Answer: GCF of 800 and 805 is 5.

2. What are the Factors of 800?

Answer: Factors of 800 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800. There are 18 integers that are factors of 800. The greatest factor of 800 is 800.

3. What are the Factors of 805?

Answer: Factors of 805 are 1, 5, 7, 23, 35, 115, 161, 805. There are 8 integers that are factors of 805. The greatest factor of 805 is 805.

4. How to Find the GCF of 800 and 805?

Answer:

Greatest Common Factor of 800 and 805 = 5

Step 1: Find the prime factorization of 800

800 = 2 x 2 x 2 x 2 x 2 x 5 x 5

Step 2: Find the prime factorization of 805

805 = 5 x 7 x 23

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 800 and 805 is 5