Greatest Common Factor of 6828 and 6829

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, 6829 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6828 and 6829 is 1.

GCF(6828,6829) = 1

GCF of 6828 and 6829

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

GCF of:
and

Greatest Common Factor of 6828 and 6829

GCF of 6828 and 6829 is 1

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 6829


6829 6829
1

Prime factors of 6829 are 6829. Prime factorization of 6829 in exponential form is:

6829 = 68291

∴ So by taking common prime factors GCF of 6828 and 6829 is 1

Greatest Common Factor of 6828 and 6829 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 6829

List of positive integer factors of 6829 that divides 6829 without a remainder.

1,6829

Greatest Common Factor

We found the factors and prime factorization of 6828 and 6829. The biggest common factor number is the GCF number.
So the greatest common factor 6828 and 6829 is 1.

Also check out the Least Common Multiple of 6828 and 6829

Properties of GCF 6828 and 6829

(i) The GCF of 6828 and 6829 is associative

GCF of 6828 and 6829 = GCF of 6829 and 6828

Related Greatest Common Factor of 6828

Related Greatest Common Factor of 6829

Frequently Asked Questions on GCF of 6828 and 6829

1. What is the GCF of 6828 and 6829?

Answer: GCF of 6828 and 6829 is 1.

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 6829?

Answer: Factors of 6829 are 1, 6829. There are 2 integers that are factors of 6829. The greatest factor of 6829 is 6829.

4. How to Find the GCF of 6828 and 6829?

Answer:

Greatest Common Factor of 6828 and 6829 = 1

Step 1: Find the prime factorization of 6828

6828 = 2 x 2 x 3 x 569

Step 2: Find the prime factorization of 6829

6829 = 6829

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 6828 and 6829 is 1