Greatest Common Factor of 6789 and 6795

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 6789, 6795 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6789 and 6795 is 3.

GCF(6789,6795) = 3

GCF of 6789 and 6795

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

GCF of:
and

Greatest Common Factor of 6789 and 6795

GCF of 6789 and 6795 is 3

Prime Factorization of 6789


3 6789
31 2263
73 73
1

Prime factors of 6789 are 3,31,73. Prime factorization of 6789 in exponential form is:

6789 = 31×311×731

Prime Factorization of 6795


3 6795
3 2265
5 755
151 151
1

Prime factors of 6795 are 3,5,151. Prime factorization of 6795 in exponential form is:

6795 = 32×51×1511

∴ So by taking common prime factors GCF of 6789 and 6795 is 3

Greatest Common Factor of 6789 and 6795 by matching factors method

Factors of 6789

List of positive integer factors of 6789 that divides 6789 without a remainder.

1,3,31,73,93,219,2263,6789

Factors of 6795

List of positive integer factors of 6795 that divides 6795 without a remainder.

1,3,5,9,15,45,151,453,755,1359,2265,6795

Greatest Common Factor

We found the factors and prime factorization of 6789 and 6795. The biggest common factor number is the GCF number.
So the greatest common factor 6789 and 6795 is 3.

Also check out the Least Common Multiple of 6789 and 6795

Properties of GCF 6789 and 6795

(i) The GCF of 6789 and 6795 is associative

GCF of 6789 and 6795 = GCF of 6795 and 6789

Related Greatest Common Factor of 6789

Related Greatest Common Factor of 6795

Frequently Asked Questions on GCF of 6789 and 6795

1. What is the GCF of 6789 and 6795?

Answer: GCF of 6789 and 6795 is 3.

2. What are the Factors of 6789?

Answer: Factors of 6789 are 1, 3, 31, 73, 93, 219, 2263, 6789. There are 8 integers that are factors of 6789. The greatest factor of 6789 is 6789.

3. What are the Factors of 6795?

Answer: Factors of 6795 are 1, 3, 5, 9, 15, 45, 151, 453, 755, 1359, 2265, 6795. There are 12 integers that are factors of 6795. The greatest factor of 6795 is 6795.

4. How to Find the GCF of 6789 and 6795?

Answer:

Greatest Common Factor of 6789 and 6795 = 3

Step 1: Find the prime factorization of 6789

6789 = 3 x 31 x 73

Step 2: Find the prime factorization of 6795

6795 = 3 x 3 x 5 x 151

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 6789 and 6795 is 3