Greatest Common Factor of 800 and 808

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, 808 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 800 and 808 is 8.

GCF(800,808) = 8

GCF of 800 and 808

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

GCF of:
and

Greatest Common Factor of 800 and 808

GCF of 800 and 808 is 8

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 808


2 808
2 404
2 202
101 101
1

Prime factors of 808 are 2,101. Prime factorization of 808 in exponential form is:

808 = 23×1011

∴ So by taking common prime factors GCF of 800 and 808 is 8

Greatest Common Factor of 800 and 808 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 808

List of positive integer factors of 808 that divides 808 without a remainder.

1,2,4,8,101,202,404,808

Greatest Common Factor

We found the factors and prime factorization of 800 and 808. The biggest common factor number is the GCF number.
So the greatest common factor 800 and 808 is 8.

Also check out the Least Common Multiple of 800 and 808

Properties of GCF 800 and 808

(i) The GCF of 800 and 808 is associative

GCF of 800 and 808 = GCF of 808 and 800

Related Greatest Common Factor of 800

Related Greatest Common Factor of 808

Frequently Asked Questions on GCF of 800 and 808

1. What is the GCF of 800 and 808?

Answer: GCF of 800 and 808 is 8.

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 808?

Answer: Factors of 808 are 1, 2, 4, 8, 101, 202, 404, 808. There are 8 integers that are factors of 808. The greatest factor of 808 is 808.

4. How to Find the GCF of 800 and 808?

Answer:

Greatest Common Factor of 800 and 808 = 8

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 808

808 = 2 x 2 x 2 x 101

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 800 and 808 is 8