Greatest Common Factor of 6828 and 6832

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 6828, 6832 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6828 and 6832 is 4.

GCF(6828,6832) = 4

GCF of 6828 and 6832

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

GCF of:
and

Greatest Common Factor of 6828 and 6832

GCF of 6828 and 6832 is 4

Prime Factorization of 6828


2 6828
2 3414
3 1707
569 569
1

Prime factors of 6828 are 2,3,569. Prime factorization of 6828 in exponential form is:

6828 = 22×31×5691

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

∴ So by taking common prime factors GCF of 6828 and 6832 is 4

Greatest Common Factor of 6828 and 6832 by matching factors method

Factors of 6828

List of positive integer factors of 6828 that divides 6828 without a remainder.

1,2,3,4,6,12,569,1138,1707,2276,3414,6828

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

Greatest Common Factor

We found the factors and prime factorization of 6828 and 6832. The biggest common factor number is the GCF number.
So the greatest common factor 6828 and 6832 is 4.

Also check out the Least Common Multiple of 6828 and 6832

Properties of GCF 6828 and 6832

(i) The GCF of 6828 and 6832 is associative

GCF of 6828 and 6832 = GCF of 6832 and 6828

Related Greatest Common Factor of 6828

Related Greatest Common Factor of 6832

Frequently Asked Questions on GCF of 6828 and 6832

1. What is the GCF of 6828 and 6832?

Answer: GCF of 6828 and 6832 is 4.

2. What are the Factors of 6828?

Answer: Factors of 6828 are 1, 2, 3, 4, 6, 12, 569, 1138, 1707, 2276, 3414, 6828. There are 12 integers that are factors of 6828. The greatest factor of 6828 is 6828.

3. 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.

4. How to Find the GCF of 6828 and 6832?

Answer:

Greatest Common Factor of 6828 and 6832 = 4

Step 1: Find the prime factorization of 6828

6828 = 2 x 2 x 3 x 569

Step 2: Find the prime factorization of 6832

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

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 6828 and 6832 is 4