Greatest Common Factor of 800 and 804

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, 804 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 800 and 804 is 4.

GCF(800,804) = 4

GCF of 800 and 804

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

GCF of:
and

Greatest Common Factor of 800 and 804

GCF of 800 and 804 is 4

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 804


2 804
2 402
3 201
67 67
1

Prime factors of 804 are 2,3,67. Prime factorization of 804 in exponential form is:

804 = 22×31×671

∴ So by taking common prime factors GCF of 800 and 804 is 4

Greatest Common Factor of 800 and 804 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 804

List of positive integer factors of 804 that divides 804 without a remainder.

1,2,3,4,6,12,67,134,201,268,402,804

Greatest Common Factor

We found the factors and prime factorization of 800 and 804. The biggest common factor number is the GCF number.
So the greatest common factor 800 and 804 is 4.

Also check out the Least Common Multiple of 800 and 804

Properties of GCF 800 and 804

(i) The GCF of 800 and 804 is associative

GCF of 800 and 804 = GCF of 804 and 800

Related Greatest Common Factor of 800

Related Greatest Common Factor of 804

Frequently Asked Questions on GCF of 800 and 804

1. What is the GCF of 800 and 804?

Answer: GCF of 800 and 804 is 4.

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 804?

Answer: Factors of 804 are 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804. There are 12 integers that are factors of 804. The greatest factor of 804 is 804.

4. How to Find the GCF of 800 and 804?

Answer:

Greatest Common Factor of 800 and 804 = 4

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 804

804 = 2 x 2 x 3 x 67

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 800 and 804 is 4