Greatest Common Factor of 6832 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 6832, 6838 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6832 and 6838 is 2.

GCF(6832,6838) = 2

GCF of 6832 and 6838

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

GCF of:
and

Greatest Common Factor of 6832 and 6838

GCF of 6832 and 6838 is 2

Prime Factorization of 6832


2 6832
2 3416
2 1708
2 854
7 427
61 61
1

Prime factors of 6832 are 2,7,61. Prime factorization of 6832 in exponential form is:

6832 = 24×71×611

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 6832 and 6838 is 2

Greatest Common Factor of 6832 and 6838 by matching factors method

Factors of 6832

List of positive integer factors of 6832 that divides 6832 without a remainder.

1,2,4,7,8,14,16,28,56,61,112,122,244,427,488,854,976,1708,3416,6832

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 6832 and 6838. The biggest common factor number is the GCF number.
So the greatest common factor 6832 and 6838 is 2.

Also check out the Least Common Multiple of 6832 and 6838

Properties of GCF 6832 and 6838

(i) The GCF of 6832 and 6838 is associative

GCF of 6832 and 6838 = GCF of 6838 and 6832

Related Greatest Common Factor of 6832

Related Greatest Common Factor of 6838

Frequently Asked Questions on GCF of 6832 and 6838

1. What is the GCF of 6832 and 6838?

Answer: GCF of 6832 and 6838 is 2.

2. What are the Factors of 6832?

Answer: Factors of 6832 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 61, 112, 122, 244, 427, 488, 854, 976, 1708, 3416, 6832. There are 20 integers that are factors of 6832. The greatest factor of 6832 is 6832.

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 6832 and 6838?

Answer:

Greatest Common Factor of 6832 and 6838 = 2

Step 1: Find the prime factorization of 6832

6832 = 2 x 2 x 2 x 2 x 7 x 61

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 6832 and 6838 is 2