Greatest Common Factor of 816 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 816, 820 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 816 and 820 is 4.

GCF(816,820) = 4

GCF of 816 and 820

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

GCF of:
and

Greatest Common Factor of 816 and 820

GCF of 816 and 820 is 4

Prime Factorization of 816


2 816
2 408
2 204
2 102
3 51
17 17
1

Prime factors of 816 are 2,3,17. Prime factorization of 816 in exponential form is:

816 = 24×31×171

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 816 and 820 is 4

Greatest Common Factor of 816 and 820 by matching factors method

Factors of 816

List of positive integer factors of 816 that divides 816 without a remainder.

1,2,3,4,6,8,12,16,17,24,34,48,51,68,102,136,204,272,408,816

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 816 and 820. The biggest common factor number is the GCF number.
So the greatest common factor 816 and 820 is 4.

Also check out the Least Common Multiple of 816 and 820

Properties of GCF 816 and 820

(i) The GCF of 816 and 820 is associative

GCF of 816 and 820 = GCF of 820 and 816

Related Greatest Common Factor of 816

Related Greatest Common Factor of 820

Frequently Asked Questions on GCF of 816 and 820

1. What is the GCF of 816 and 820?

Answer: GCF of 816 and 820 is 4.

2. What are the Factors of 816?

Answer: Factors of 816 are 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816. There are 20 integers that are factors of 816. The greatest factor of 816 is 816.

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 816 and 820?

Answer:

Greatest Common Factor of 816 and 820 = 4

Step 1: Find the prime factorization of 816

816 = 2 x 2 x 2 x 2 x 3 x 17

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 816 and 820 is 4