Greatest Common Factor of 798 and 805

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, 805 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 798 and 805 is 7.

GCF(798,805) = 7

GCF of 798 and 805

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

GCF of:
and

Greatest Common Factor of 798 and 805

GCF of 798 and 805 is 7

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 805


5 805
7 161
23 23
1

Prime factors of 805 are 5,7,23. Prime factorization of 805 in exponential form is:

805 = 51×71×231

∴ So by taking common prime factors GCF of 798 and 805 is 7

Greatest Common Factor of 798 and 805 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 805

List of positive integer factors of 805 that divides 805 without a remainder.

1,5,7,23,35,115,161,805

Greatest Common Factor

We found the factors and prime factorization of 798 and 805. The biggest common factor number is the GCF number.
So the greatest common factor 798 and 805 is 7.

Also check out the Least Common Multiple of 798 and 805

Properties of GCF 798 and 805

(i) The GCF of 798 and 805 is associative

GCF of 798 and 805 = GCF of 805 and 798

Related Greatest Common Factor of 798

Related Greatest Common Factor of 805

Frequently Asked Questions on GCF of 798 and 805

1. What is the GCF of 798 and 805?

Answer: GCF of 798 and 805 is 7.

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 805?

Answer: Factors of 805 are 1, 5, 7, 23, 35, 115, 161, 805. There are 8 integers that are factors of 805. The greatest factor of 805 is 805.

4. How to Find the GCF of 798 and 805?

Answer:

Greatest Common Factor of 798 and 805 = 7

Step 1: Find the prime factorization of 798

798 = 2 x 3 x 7 x 19

Step 2: Find the prime factorization of 805

805 = 5 x 7 x 23

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

GCF = 7

Step 4: Therefore, the greatest common factor of 798 and 805 is 7