Greatest Common Factor of 805 and 812

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 805, 812 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 805 and 812 is 7.

GCF(805,812) = 7

GCF of 805 and 812

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

GCF of:
and

Greatest Common Factor of 805 and 812

GCF of 805 and 812 is 7

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

Prime Factorization of 812


2 812
2 406
7 203
29 29
1

Prime factors of 812 are 2,7,29. Prime factorization of 812 in exponential form is:

812 = 22×71×291

∴ So by taking common prime factors GCF of 805 and 812 is 7

Greatest Common Factor of 805 and 812 by matching factors method

Factors of 805

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

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

Factors of 812

List of positive integer factors of 812 that divides 812 without a remainder.

1,2,4,7,14,28,29,58,116,203,406,812

Greatest Common Factor

We found the factors and prime factorization of 805 and 812. The biggest common factor number is the GCF number.
So the greatest common factor 805 and 812 is 7.

Also check out the Least Common Multiple of 805 and 812

Properties of GCF 805 and 812

(i) The GCF of 805 and 812 is associative

GCF of 805 and 812 = GCF of 812 and 805

Related Greatest Common Factor of 805

Related Greatest Common Factor of 812

Frequently Asked Questions on GCF of 805 and 812

1. What is the GCF of 805 and 812?

Answer: GCF of 805 and 812 is 7.

2. 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.

3. What are the Factors of 812?

Answer: Factors of 812 are 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812. There are 12 integers that are factors of 812. The greatest factor of 812 is 812.

4. How to Find the GCF of 805 and 812?

Answer:

Greatest Common Factor of 805 and 812 = 7

Step 1: Find the prime factorization of 805

805 = 5 x 7 x 23

Step 2: Find the prime factorization of 812

812 = 2 x 2 x 7 x 29

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 805 and 812 is 7