Greatest Common Factor of 800 and 802

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, 802 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 800 and 802 is 2.

GCF(800,802) = 2

GCF of 800 and 802

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

GCF of:
and

Greatest Common Factor of 800 and 802

GCF of 800 and 802 is 2

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 802


2 802
401 401
1

Prime factors of 802 are 2,401. Prime factorization of 802 in exponential form is:

802 = 21×4011

∴ So by taking common prime factors GCF of 800 and 802 is 2

Greatest Common Factor of 800 and 802 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 802

List of positive integer factors of 802 that divides 802 without a remainder.

1,2,401,802

Greatest Common Factor

We found the factors and prime factorization of 800 and 802. The biggest common factor number is the GCF number.
So the greatest common factor 800 and 802 is 2.

Also check out the Least Common Multiple of 800 and 802

Properties of GCF 800 and 802

(i) The GCF of 800 and 802 is associative

GCF of 800 and 802 = GCF of 802 and 800

Related Greatest Common Factor of 800

Related Greatest Common Factor of 802

Frequently Asked Questions on GCF of 800 and 802

1. What is the GCF of 800 and 802?

Answer: GCF of 800 and 802 is 2.

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 802?

Answer: Factors of 802 are 1, 2, 401, 802. There are 4 integers that are factors of 802. The greatest factor of 802 is 802.

4. How to Find the GCF of 800 and 802?

Answer:

Greatest Common Factor of 800 and 802 = 2

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 802

802 = 2 x 401

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

GCF = 2

Step 4: Therefore, the greatest common factor of 800 and 802 is 2