Greatest Common Factor of 798 and 800

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 798, 800 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 798 and 800 is 2.

GCF(798,800) = 2

GCF of 798 and 800

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

GCF of:
and

Greatest Common Factor of 798 and 800

GCF of 798 and 800 is 2

Prime Factorization of 798


2 798
3 399
7 133
19 19
1

Prime factors of 798 are 2,3,7,19. Prime factorization of 798 in exponential form is:

798 = 21×31×71×191

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

∴ So by taking common prime factors GCF of 798 and 800 is 2

Greatest Common Factor of 798 and 800 by matching factors method

Factors of 798

List of positive integer factors of 798 that divides 798 without a remainder.

1,2,3,6,7,14,19,21,38,42,57,114,133,266,399,798

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

Greatest Common Factor

We found the factors and prime factorization of 798 and 800. The biggest common factor number is the GCF number.
So the greatest common factor 798 and 800 is 2.

Also check out the Least Common Multiple of 798 and 800

Properties of GCF 798 and 800

(i) The GCF of 798 and 800 is associative

GCF of 798 and 800 = GCF of 800 and 798

Related Greatest Common Factor of 798

Related Greatest Common Factor of 800

Frequently Asked Questions on GCF of 798 and 800

1. What is the GCF of 798 and 800?

Answer: GCF of 798 and 800 is 2.

2. What are the Factors of 798?

Answer: Factors of 798 are 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798. There are 16 integers that are factors of 798. The greatest factor of 798 is 798.

3. 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.

4. How to Find the GCF of 798 and 800?

Answer:

Greatest Common Factor of 798 and 800 = 2

Step 1: Find the prime factorization of 798

798 = 2 x 3 x 7 x 19

Step 2: Find the prime factorization of 800

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

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 798 and 800 is 2