Greatest Common Factor of 6842 and 6846

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 6842, 6846 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6842 and 6846 is 2.

GCF(6842,6846) = 2

GCF of 6842 and 6846

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

GCF of:
and

Greatest Common Factor of 6842 and 6846

GCF of 6842 and 6846 is 2

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

Prime Factorization of 6846


2 6846
3 3423
7 1141
163 163
1

Prime factors of 6846 are 2,3,7,163. Prime factorization of 6846 in exponential form is:

6846 = 21×31×71×1631

∴ So by taking common prime factors GCF of 6842 and 6846 is 2

Greatest Common Factor of 6842 and 6846 by matching factors method

Factors of 6842

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

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

Factors of 6846

List of positive integer factors of 6846 that divides 6846 without a remainder.

1,2,3,6,7,14,21,42,163,326,489,978,1141,2282,3423,6846

Greatest Common Factor

We found the factors and prime factorization of 6842 and 6846. The biggest common factor number is the GCF number.
So the greatest common factor 6842 and 6846 is 2.

Also check out the Least Common Multiple of 6842 and 6846

Properties of GCF 6842 and 6846

(i) The GCF of 6842 and 6846 is associative

GCF of 6842 and 6846 = GCF of 6846 and 6842

Related Greatest Common Factor of 6842

Related Greatest Common Factor of 6846

Frequently Asked Questions on GCF of 6842 and 6846

1. What is the GCF of 6842 and 6846?

Answer: GCF of 6842 and 6846 is 2.

2. 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.

3. What are the Factors of 6846?

Answer: Factors of 6846 are 1, 2, 3, 6, 7, 14, 21, 42, 163, 326, 489, 978, 1141, 2282, 3423, 6846. There are 16 integers that are factors of 6846. The greatest factor of 6846 is 6846.

4. How to Find the GCF of 6842 and 6846?

Answer:

Greatest Common Factor of 6842 and 6846 = 2

Step 1: Find the prime factorization of 6842

6842 = 2 x 11 x 311

Step 2: Find the prime factorization of 6846

6846 = 2 x 3 x 7 x 163

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 6842 and 6846 is 2