Greatest Common Factor of 798 and 806

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

Greatest common factor (GCF) of 798 and 806 is 2.

GCF(798,806) = 2

GCF of 798 and 806

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

GCF of:
and

Greatest Common Factor of 798 and 806

GCF of 798 and 806 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 806


2 806
13 403
31 31
1

Prime factors of 806 are 2,13,31. Prime factorization of 806 in exponential form is:

806 = 21×131×311

∴ So by taking common prime factors GCF of 798 and 806 is 2

Greatest Common Factor of 798 and 806 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 806

List of positive integer factors of 806 that divides 806 without a remainder.

1,2,13,26,31,62,403,806

Greatest Common Factor

We found the factors and prime factorization of 798 and 806. The biggest common factor number is the GCF number.
So the greatest common factor 798 and 806 is 2.

Also check out the Least Common Multiple of 798 and 806

Properties of GCF 798 and 806

(i) The GCF of 798 and 806 is associative

GCF of 798 and 806 = GCF of 806 and 798

Related Greatest Common Factor of 798

Related Greatest Common Factor of 806

Frequently Asked Questions on GCF of 798 and 806

1. What is the GCF of 798 and 806?

Answer: GCF of 798 and 806 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 806?

Answer: Factors of 806 are 1, 2, 13, 26, 31, 62, 403, 806. There are 8 integers that are factors of 806. The greatest factor of 806 is 806.

4. How to Find the GCF of 798 and 806?

Answer:

Greatest Common Factor of 798 and 806 = 2

Step 1: Find the prime factorization of 798

798 = 2 x 3 x 7 x 19

Step 2: Find the prime factorization of 806

806 = 2 x 13 x 31

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 806 is 2