Greatest Common Factor of 6838 and 6842

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 6838, 6842 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6838 and 6842 is 2.

GCF(6838,6842) = 2

GCF of 6838 and 6842

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

GCF of:
and

Greatest Common Factor of 6838 and 6842

GCF of 6838 and 6842 is 2

Prime Factorization of 6838


2 6838
13 3419
263 263
1

Prime factors of 6838 are 2,13,263. Prime factorization of 6838 in exponential form is:

6838 = 21×131×2631

Prime Factorization of 6842


2 6842
11 3421
311 311
1

Prime factors of 6842 are 2,11,311. Prime factorization of 6842 in exponential form is:

6842 = 21×111×3111

∴ So by taking common prime factors GCF of 6838 and 6842 is 2

Greatest Common Factor of 6838 and 6842 by matching factors method

Factors of 6838

List of positive integer factors of 6838 that divides 6838 without a remainder.

1,2,13,26,263,526,3419,6838

Factors of 6842

List of positive integer factors of 6842 that divides 6842 without a remainder.

1,2,11,22,311,622,3421,6842

Greatest Common Factor

We found the factors and prime factorization of 6838 and 6842. The biggest common factor number is the GCF number.
So the greatest common factor 6838 and 6842 is 2.

Also check out the Least Common Multiple of 6838 and 6842

Properties of GCF 6838 and 6842

(i) The GCF of 6838 and 6842 is associative

GCF of 6838 and 6842 = GCF of 6842 and 6838

Related Greatest Common Factor of 6838

Related Greatest Common Factor of 6842

Frequently Asked Questions on GCF of 6838 and 6842

1. What is the GCF of 6838 and 6842?

Answer: GCF of 6838 and 6842 is 2.

2. What are the Factors of 6838?

Answer: Factors of 6838 are 1, 2, 13, 26, 263, 526, 3419, 6838. There are 8 integers that are factors of 6838. The greatest factor of 6838 is 6838.

3. What are the Factors of 6842?

Answer: Factors of 6842 are 1, 2, 11, 22, 311, 622, 3421, 6842. There are 8 integers that are factors of 6842. The greatest factor of 6842 is 6842.

4. How to Find the GCF of 6838 and 6842?

Answer:

Greatest Common Factor of 6838 and 6842 = 2

Step 1: Find the prime factorization of 6838

6838 = 2 x 13 x 263

Step 2: Find the prime factorization of 6842

6842 = 2 x 11 x 311

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

GCF = 2

Step 4: Therefore, the greatest common factor of 6838 and 6842 is 2