Greatest Common Factor of 6816 and 6819

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 6816, 6819 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6816 and 6819 is 3.

GCF(6816,6819) = 3

GCF of 6816 and 6819

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

GCF of:
and

Greatest Common Factor of 6816 and 6819

GCF of 6816 and 6819 is 3

Prime Factorization of 6816


2 6816
2 3408
2 1704
2 852
2 426
3 213
71 71
1

Prime factors of 6816 are 2,3,71. Prime factorization of 6816 in exponential form is:

6816 = 25×31×711

Prime Factorization of 6819


3 6819
2273 2273
1

Prime factors of 6819 are 3,2273. Prime factorization of 6819 in exponential form is:

6819 = 31×22731

∴ So by taking common prime factors GCF of 6816 and 6819 is 3

Greatest Common Factor of 6816 and 6819 by matching factors method

Factors of 6816

List of positive integer factors of 6816 that divides 6816 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,71,96,142,213,284,426,568,852,1136,1704,2272,3408,6816

Factors of 6819

List of positive integer factors of 6819 that divides 6819 without a remainder.

1,3,2273,6819

Greatest Common Factor

We found the factors and prime factorization of 6816 and 6819. The biggest common factor number is the GCF number.
So the greatest common factor 6816 and 6819 is 3.

Also check out the Least Common Multiple of 6816 and 6819

Properties of GCF 6816 and 6819

(i) The GCF of 6816 and 6819 is associative

GCF of 6816 and 6819 = GCF of 6819 and 6816

Related Greatest Common Factor of 6816

Related Greatest Common Factor of 6819

Frequently Asked Questions on GCF of 6816 and 6819

1. What is the GCF of 6816 and 6819?

Answer: GCF of 6816 and 6819 is 3.

2. What are the Factors of 6816?

Answer: Factors of 6816 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 71, 96, 142, 213, 284, 426, 568, 852, 1136, 1704, 2272, 3408, 6816. There are 24 integers that are factors of 6816. The greatest factor of 6816 is 6816.

3. What are the Factors of 6819?

Answer: Factors of 6819 are 1, 3, 2273, 6819. There are 4 integers that are factors of 6819. The greatest factor of 6819 is 6819.

4. How to Find the GCF of 6816 and 6819?

Answer:

Greatest Common Factor of 6816 and 6819 = 3

Step 1: Find the prime factorization of 6816

6816 = 2 x 2 x 2 x 2 x 2 x 3 x 71

Step 2: Find the prime factorization of 6819

6819 = 3 x 2273

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

GCF = 3

Step 4: Therefore, the greatest common factor of 6816 and 6819 is 3