Greatest Common Factor of 6830 and 6838

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 6830, 6838 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6830 and 6838 is 2.

GCF(6830,6838) = 2

GCF of 6830 and 6838

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

GCF of:
and

Greatest Common Factor of 6830 and 6838

GCF of 6830 and 6838 is 2

Prime Factorization of 6830


2 6830
5 3415
683 683
1

Prime factors of 6830 are 2,5,683. Prime factorization of 6830 in exponential form is:

6830 = 21×51×6831

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

∴ So by taking common prime factors GCF of 6830 and 6838 is 2

Greatest Common Factor of 6830 and 6838 by matching factors method

Factors of 6830

List of positive integer factors of 6830 that divides 6830 without a remainder.

1,2,5,10,683,1366,3415,6830

Factors of 6838

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

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

Greatest Common Factor

We found the factors and prime factorization of 6830 and 6838. The biggest common factor number is the GCF number.
So the greatest common factor 6830 and 6838 is 2.

Also check out the Least Common Multiple of 6830 and 6838

Properties of GCF 6830 and 6838

(i) The GCF of 6830 and 6838 is associative

GCF of 6830 and 6838 = GCF of 6838 and 6830

Related Greatest Common Factor of 6830

Related Greatest Common Factor of 6838

Frequently Asked Questions on GCF of 6830 and 6838

1. What is the GCF of 6830 and 6838?

Answer: GCF of 6830 and 6838 is 2.

2. What are the Factors of 6830?

Answer: Factors of 6830 are 1, 2, 5, 10, 683, 1366, 3415, 6830. There are 8 integers that are factors of 6830. The greatest factor of 6830 is 6830.

3. 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.

4. How to Find the GCF of 6830 and 6838?

Answer:

Greatest Common Factor of 6830 and 6838 = 2

Step 1: Find the prime factorization of 6830

6830 = 2 x 5 x 683

Step 2: Find the prime factorization of 6838

6838 = 2 x 13 x 263

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 6830 and 6838 is 2