Greatest Common Factor of 6801 and 6807

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 6801, 6807 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6801 and 6807 is 3.

GCF(6801,6807) = 3

GCF of 6801 and 6807

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

GCF of:
and

Greatest Common Factor of 6801 and 6807

GCF of 6801 and 6807 is 3

Prime Factorization of 6801


3 6801
2267 2267
1

Prime factors of 6801 are 3,2267. Prime factorization of 6801 in exponential form is:

6801 = 31×22671

Prime Factorization of 6807


3 6807
2269 2269
1

Prime factors of 6807 are 3,2269. Prime factorization of 6807 in exponential form is:

6807 = 31×22691

∴ So by taking common prime factors GCF of 6801 and 6807 is 3

Greatest Common Factor of 6801 and 6807 by matching factors method

Factors of 6801

List of positive integer factors of 6801 that divides 6801 without a remainder.

1,3,2267,6801

Factors of 6807

List of positive integer factors of 6807 that divides 6807 without a remainder.

1,3,2269,6807

Greatest Common Factor

We found the factors and prime factorization of 6801 and 6807. The biggest common factor number is the GCF number.
So the greatest common factor 6801 and 6807 is 3.

Also check out the Least Common Multiple of 6801 and 6807

Properties of GCF 6801 and 6807

(i) The GCF of 6801 and 6807 is associative

GCF of 6801 and 6807 = GCF of 6807 and 6801

Related Greatest Common Factor of 6801

Related Greatest Common Factor of 6807

Frequently Asked Questions on GCF of 6801 and 6807

1. What is the GCF of 6801 and 6807?

Answer: GCF of 6801 and 6807 is 3.

2. What are the Factors of 6801?

Answer: Factors of 6801 are 1, 3, 2267, 6801. There are 4 integers that are factors of 6801. The greatest factor of 6801 is 6801.

3. What are the Factors of 6807?

Answer: Factors of 6807 are 1, 3, 2269, 6807. There are 4 integers that are factors of 6807. The greatest factor of 6807 is 6807.

4. How to Find the GCF of 6801 and 6807?

Answer:

Greatest Common Factor of 6801 and 6807 = 3

Step 1: Find the prime factorization of 6801

6801 = 3 x 2267

Step 2: Find the prime factorization of 6807

6807 = 3 x 2269

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 6801 and 6807 is 3