Greatest Common Factor of 6819 and 6825

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 6819, 6825 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6819 and 6825 is 3.

GCF(6819,6825) = 3

GCF of 6819 and 6825

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

GCF of:
and

Greatest Common Factor of 6819 and 6825

GCF of 6819 and 6825 is 3

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

Prime Factorization of 6825


3 6825
5 2275
5 455
7 91
13 13
1

Prime factors of 6825 are 3,5,7,13. Prime factorization of 6825 in exponential form is:

6825 = 31×52×71×131

∴ So by taking common prime factors GCF of 6819 and 6825 is 3

Greatest Common Factor of 6819 and 6825 by matching factors method

Factors of 6819

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

1,3,2273,6819

Factors of 6825

List of positive integer factors of 6825 that divides 6825 without a remainder.

1,3,5,7,13,15,21,25,35,39,65,75,91,105,175,195,273,325,455,525,975,1365,2275,6825

Greatest Common Factor

We found the factors and prime factorization of 6819 and 6825. The biggest common factor number is the GCF number.
So the greatest common factor 6819 and 6825 is 3.

Also check out the Least Common Multiple of 6819 and 6825

Properties of GCF 6819 and 6825

(i) The GCF of 6819 and 6825 is associative

GCF of 6819 and 6825 = GCF of 6825 and 6819

Related Greatest Common Factor of 6819

Related Greatest Common Factor of 6825

Frequently Asked Questions on GCF of 6819 and 6825

1. What is the GCF of 6819 and 6825?

Answer: GCF of 6819 and 6825 is 3.

2. 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.

3. What are the Factors of 6825?

Answer: Factors of 6825 are 1, 3, 5, 7, 13, 15, 21, 25, 35, 39, 65, 75, 91, 105, 175, 195, 273, 325, 455, 525, 975, 1365, 2275, 6825. There are 24 integers that are factors of 6825. The greatest factor of 6825 is 6825.

4. How to Find the GCF of 6819 and 6825?

Answer:

Greatest Common Factor of 6819 and 6825 = 3

Step 1: Find the prime factorization of 6819

6819 = 3 x 2273

Step 2: Find the prime factorization of 6825

6825 = 3 x 5 x 5 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 = 3

Step 4: Therefore, the greatest common factor of 6819 and 6825 is 3