Greatest Common Factor of 812 and 814

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

Greatest common factor (GCF) of 812 and 814 is 2.

GCF(812,814) = 2

GCF of 812 and 814

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

GCF of:
and

Greatest Common Factor of 812 and 814

GCF of 812 and 814 is 2

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 814


2 814
11 407
37 37
1

Prime factors of 814 are 2,11,37. Prime factorization of 814 in exponential form is:

814 = 21×111×371

∴ So by taking common prime factors GCF of 812 and 814 is 2

Greatest Common Factor of 812 and 814 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 814

List of positive integer factors of 814 that divides 814 without a remainder.

1,2,11,22,37,74,407,814

Greatest Common Factor

We found the factors and prime factorization of 812 and 814. The biggest common factor number is the GCF number.
So the greatest common factor 812 and 814 is 2.

Also check out the Least Common Multiple of 812 and 814

Properties of GCF 812 and 814

(i) The GCF of 812 and 814 is associative

GCF of 812 and 814 = GCF of 814 and 812

Related Greatest Common Factor of 812

Related Greatest Common Factor of 814

Frequently Asked Questions on GCF of 812 and 814

1. What is the GCF of 812 and 814?

Answer: GCF of 812 and 814 is 2.

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 814?

Answer: Factors of 814 are 1, 2, 11, 22, 37, 74, 407, 814. There are 8 integers that are factors of 814. The greatest factor of 814 is 814.

4. How to Find the GCF of 812 and 814?

Answer:

Greatest Common Factor of 812 and 814 = 2

Step 1: Find the prime factorization of 812

812 = 2 x 2 x 7 x 29

Step 2: Find the prime factorization of 814

814 = 2 x 11 x 37

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 812 and 814 is 2