Greatest Common Factor of 812 and 820

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, 820 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 812 and 820 is 4.

GCF(812,820) = 4

GCF of 812 and 820

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

GCF of:
and

Greatest Common Factor of 812 and 820

GCF of 812 and 820 is 4

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 820


2 820
2 410
5 205
41 41
1

Prime factors of 820 are 2,5,41. Prime factorization of 820 in exponential form is:

820 = 22×51×411

∴ So by taking common prime factors GCF of 812 and 820 is 4

Greatest Common Factor of 812 and 820 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 820

List of positive integer factors of 820 that divides 820 without a remainder.

1,2,4,5,10,20,41,82,164,205,410,820

Greatest Common Factor

We found the factors and prime factorization of 812 and 820. The biggest common factor number is the GCF number.
So the greatest common factor 812 and 820 is 4.

Also check out the Least Common Multiple of 812 and 820

Properties of GCF 812 and 820

(i) The GCF of 812 and 820 is associative

GCF of 812 and 820 = GCF of 820 and 812

Related Greatest Common Factor of 812

Related Greatest Common Factor of 820

Frequently Asked Questions on GCF of 812 and 820

1. What is the GCF of 812 and 820?

Answer: GCF of 812 and 820 is 4.

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 820?

Answer: Factors of 820 are 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820. There are 12 integers that are factors of 820. The greatest factor of 820 is 820.

4. How to Find the GCF of 812 and 820?

Answer:

Greatest Common Factor of 812 and 820 = 4

Step 1: Find the prime factorization of 812

812 = 2 x 2 x 7 x 29

Step 2: Find the prime factorization of 820

820 = 2 x 2 x 5 x 41

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 812 and 820 is 4