Greatest Common Factor of 6824 and 6828

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 6824, 6828 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6824 and 6828 is 4.

GCF(6824,6828) = 4

GCF of 6824 and 6828

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

GCF of:
and

Greatest Common Factor of 6824 and 6828

GCF of 6824 and 6828 is 4

Prime Factorization of 6824


2 6824
2 3412
2 1706
853 853
1

Prime factors of 6824 are 2,853. Prime factorization of 6824 in exponential form is:

6824 = 23×8531

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

∴ So by taking common prime factors GCF of 6824 and 6828 is 4

Greatest Common Factor of 6824 and 6828 by matching factors method

Factors of 6824

List of positive integer factors of 6824 that divides 6824 without a remainder.

1,2,4,8,853,1706,3412,6824

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

Greatest Common Factor

We found the factors and prime factorization of 6824 and 6828. The biggest common factor number is the GCF number.
So the greatest common factor 6824 and 6828 is 4.

Also check out the Least Common Multiple of 6824 and 6828

Properties of GCF 6824 and 6828

(i) The GCF of 6824 and 6828 is associative

GCF of 6824 and 6828 = GCF of 6828 and 6824

Related Greatest Common Factor of 6824

Related Greatest Common Factor of 6828

Frequently Asked Questions on GCF of 6824 and 6828

1. What is the GCF of 6824 and 6828?

Answer: GCF of 6824 and 6828 is 4.

2. What are the Factors of 6824?

Answer: Factors of 6824 are 1, 2, 4, 8, 853, 1706, 3412, 6824. There are 8 integers that are factors of 6824. The greatest factor of 6824 is 6824.

3. 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.

4. How to Find the GCF of 6824 and 6828?

Answer:

Greatest Common Factor of 6824 and 6828 = 4

Step 1: Find the prime factorization of 6824

6824 = 2 x 2 x 2 x 853

Step 2: Find the prime factorization of 6828

6828 = 2 x 2 x 3 x 569

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 6824 and 6828 is 4