Greatest Common Factor of 6789 and 6791

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, 6791 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6789 and 6791 is 1.

GCF(6789,6791) = 1

GCF of 6789 and 6791

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

GCF of:
and

Greatest Common Factor of 6789 and 6791

GCF of 6789 and 6791 is 1

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 6791


6791 6791
1

Prime factors of 6791 are 6791. Prime factorization of 6791 in exponential form is:

6791 = 67911

∴ So by taking common prime factors GCF of 6789 and 6791 is 1

Greatest Common Factor of 6789 and 6791 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 6791

List of positive integer factors of 6791 that divides 6791 without a remainder.

1,6791

Greatest Common Factor

We found the factors and prime factorization of 6789 and 6791. The biggest common factor number is the GCF number.
So the greatest common factor 6789 and 6791 is 1.

Also check out the Least Common Multiple of 6789 and 6791

Properties of GCF 6789 and 6791

(i) The GCF of 6789 and 6791 is associative

GCF of 6789 and 6791 = GCF of 6791 and 6789

Related Greatest Common Factor of 6789

Related Greatest Common Factor of 6791

Frequently Asked Questions on GCF of 6789 and 6791

1. What is the GCF of 6789 and 6791?

Answer: GCF of 6789 and 6791 is 1.

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 6791?

Answer: Factors of 6791 are 1, 6791. There are 2 integers that are factors of 6791. The greatest factor of 6791 is 6791.

4. How to Find the GCF of 6789 and 6791?

Answer:

Greatest Common Factor of 6789 and 6791 = 1

Step 1: Find the prime factorization of 6789

6789 = 3 x 31 x 73

Step 2: Find the prime factorization of 6791

6791 = 6791

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 6789 and 6791 is 1