Greatest Common Factor of 6831 and 6834

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 6831, 6834 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6831 and 6834 is 3.

GCF(6831,6834) = 3

GCF of 6831 and 6834

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

GCF of:
and

Greatest Common Factor of 6831 and 6834

GCF of 6831 and 6834 is 3

Prime Factorization of 6831


3 6831
3 2277
3 759
11 253
23 23
1

Prime factors of 6831 are 3,11,23. Prime factorization of 6831 in exponential form is:

6831 = 33×111×231

Prime Factorization of 6834


2 6834
3 3417
17 1139
67 67
1

Prime factors of 6834 are 2,3,17,67. Prime factorization of 6834 in exponential form is:

6834 = 21×31×171×671

∴ So by taking common prime factors GCF of 6831 and 6834 is 3

Greatest Common Factor of 6831 and 6834 by matching factors method

Factors of 6831

List of positive integer factors of 6831 that divides 6831 without a remainder.

1,3,9,11,23,27,33,69,99,207,253,297,621,759,2277,6831

Factors of 6834

List of positive integer factors of 6834 that divides 6834 without a remainder.

1,2,3,6,17,34,51,67,102,134,201,402,1139,2278,3417,6834

Greatest Common Factor

We found the factors and prime factorization of 6831 and 6834. The biggest common factor number is the GCF number.
So the greatest common factor 6831 and 6834 is 3.

Also check out the Least Common Multiple of 6831 and 6834

Properties of GCF 6831 and 6834

(i) The GCF of 6831 and 6834 is associative

GCF of 6831 and 6834 = GCF of 6834 and 6831

Related Greatest Common Factor of 6831

Related Greatest Common Factor of 6834

Frequently Asked Questions on GCF of 6831 and 6834

1. What is the GCF of 6831 and 6834?

Answer: GCF of 6831 and 6834 is 3.

2. What are the Factors of 6831?

Answer: Factors of 6831 are 1, 3, 9, 11, 23, 27, 33, 69, 99, 207, 253, 297, 621, 759, 2277, 6831. There are 16 integers that are factors of 6831. The greatest factor of 6831 is 6831.

3. What are the Factors of 6834?

Answer: Factors of 6834 are 1, 2, 3, 6, 17, 34, 51, 67, 102, 134, 201, 402, 1139, 2278, 3417, 6834. There are 16 integers that are factors of 6834. The greatest factor of 6834 is 6834.

4. How to Find the GCF of 6831 and 6834?

Answer:

Greatest Common Factor of 6831 and 6834 = 3

Step 1: Find the prime factorization of 6831

6831 = 3 x 3 x 3 x 11 x 23

Step 2: Find the prime factorization of 6834

6834 = 2 x 3 x 17 x 67

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 6831 and 6834 is 3