Greatest Common Factor of 6825 and 6827

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 6825, 6827 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6825 and 6827 is 1.

GCF(6825,6827) = 1

GCF of 6825 and 6827

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

GCF of:
and

Greatest Common Factor of 6825 and 6827

GCF of 6825 and 6827 is 1

Prime Factorization of 6825


3 6825
5 2275
5 455
7 91
13 13
1

Prime factors of 6825 are 3,5,7,13. Prime factorization of 6825 in exponential form is:

6825 = 31×52×71×131

Prime Factorization of 6827


6827 6827
1

Prime factors of 6827 are 6827. Prime factorization of 6827 in exponential form is:

6827 = 68271

∴ So by taking common prime factors GCF of 6825 and 6827 is 1

Greatest Common Factor of 6825 and 6827 by matching factors method

Factors of 6825

List of positive integer factors of 6825 that divides 6825 without a remainder.

1,3,5,7,13,15,21,25,35,39,65,75,91,105,175,195,273,325,455,525,975,1365,2275,6825

Factors of 6827

List of positive integer factors of 6827 that divides 6827 without a remainder.

1,6827

Greatest Common Factor

We found the factors and prime factorization of 6825 and 6827. The biggest common factor number is the GCF number.
So the greatest common factor 6825 and 6827 is 1.

Also check out the Least Common Multiple of 6825 and 6827

Properties of GCF 6825 and 6827

(i) The GCF of 6825 and 6827 is associative

GCF of 6825 and 6827 = GCF of 6827 and 6825

Related Greatest Common Factor of 6825

Related Greatest Common Factor of 6827

Frequently Asked Questions on GCF of 6825 and 6827

1. What is the GCF of 6825 and 6827?

Answer: GCF of 6825 and 6827 is 1.

2. What are the Factors of 6825?

Answer: Factors of 6825 are 1, 3, 5, 7, 13, 15, 21, 25, 35, 39, 65, 75, 91, 105, 175, 195, 273, 325, 455, 525, 975, 1365, 2275, 6825. There are 24 integers that are factors of 6825. The greatest factor of 6825 is 6825.

3. What are the Factors of 6827?

Answer: Factors of 6827 are 1, 6827. There are 2 integers that are factors of 6827. The greatest factor of 6827 is 6827.

4. How to Find the GCF of 6825 and 6827?

Answer:

Greatest Common Factor of 6825 and 6827 = 1

Step 1: Find the prime factorization of 6825

6825 = 3 x 5 x 5 x 7 x 13

Step 2: Find the prime factorization of 6827

6827 = 6827

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 6825 and 6827 is 1