Greatest Common Factor of 812 and 819

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 812, 819 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 812 and 819 is 7.

GCF(812,819) = 7

GCF of 812 and 819

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

GCF of:
and

Greatest Common Factor of 812 and 819

GCF of 812 and 819 is 7

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

Prime Factorization of 819


3 819
3 273
7 91
13 13
1

Prime factors of 819 are 3,7,13. Prime factorization of 819 in exponential form is:

819 = 32×71×131

∴ So by taking common prime factors GCF of 812 and 819 is 7

Greatest Common Factor of 812 and 819 by matching factors method

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

Factors of 819

List of positive integer factors of 819 that divides 819 without a remainder.

1,3,7,9,13,21,39,63,91,117,273,819

Greatest Common Factor

We found the factors and prime factorization of 812 and 819. The biggest common factor number is the GCF number.
So the greatest common factor 812 and 819 is 7.

Also check out the Least Common Multiple of 812 and 819

Properties of GCF 812 and 819

(i) The GCF of 812 and 819 is associative

GCF of 812 and 819 = GCF of 819 and 812

Related Greatest Common Factor of 812

Related Greatest Common Factor of 819

Frequently Asked Questions on GCF of 812 and 819

1. What is the GCF of 812 and 819?

Answer: GCF of 812 and 819 is 7.

2. 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.

3. What are the Factors of 819?

Answer: Factors of 819 are 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819. There are 12 integers that are factors of 819. The greatest factor of 819 is 819.

4. How to Find the GCF of 812 and 819?

Answer:

Greatest Common Factor of 812 and 819 = 7

Step 1: Find the prime factorization of 812

812 = 2 x 2 x 7 x 29

Step 2: Find the prime factorization of 819

819 = 3 x 3 x 7 x 13

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 812 and 819 is 7