Greatest Common Factor of 6870 and 6873

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 6870, 6873 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6870 and 6873 is 3.

GCF(6870,6873) = 3

GCF of 6870 and 6873

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

GCF of:
and

Greatest Common Factor of 6870 and 6873

GCF of 6870 and 6873 is 3

Prime Factorization of 6870


2 6870
3 3435
5 1145
229 229
1

Prime factors of 6870 are 2,3,5,229. Prime factorization of 6870 in exponential form is:

6870 = 21×31×51×2291

Prime Factorization of 6873


3 6873
29 2291
79 79
1

Prime factors of 6873 are 3,29,79. Prime factorization of 6873 in exponential form is:

6873 = 31×291×791

∴ So by taking common prime factors GCF of 6870 and 6873 is 3

Greatest Common Factor of 6870 and 6873 by matching factors method

Factors of 6870

List of positive integer factors of 6870 that divides 6870 without a remainder.

1,2,3,5,6,10,15,30,229,458,687,1145,1374,2290,3435,6870

Factors of 6873

List of positive integer factors of 6873 that divides 6873 without a remainder.

1,3,29,79,87,237,2291,6873

Greatest Common Factor

We found the factors and prime factorization of 6870 and 6873. The biggest common factor number is the GCF number.
So the greatest common factor 6870 and 6873 is 3.

Also check out the Least Common Multiple of 6870 and 6873

Properties of GCF 6870 and 6873

(i) The GCF of 6870 and 6873 is associative

GCF of 6870 and 6873 = GCF of 6873 and 6870

Related Greatest Common Factor of 6870

Related Greatest Common Factor of 6873

Frequently Asked Questions on GCF of 6870 and 6873

1. What is the GCF of 6870 and 6873?

Answer: GCF of 6870 and 6873 is 3.

2. What are the Factors of 6870?

Answer: Factors of 6870 are 1, 2, 3, 5, 6, 10, 15, 30, 229, 458, 687, 1145, 1374, 2290, 3435, 6870. There are 16 integers that are factors of 6870. The greatest factor of 6870 is 6870.

3. What are the Factors of 6873?

Answer: Factors of 6873 are 1, 3, 29, 79, 87, 237, 2291, 6873. There are 8 integers that are factors of 6873. The greatest factor of 6873 is 6873.

4. How to Find the GCF of 6870 and 6873?

Answer:

Greatest Common Factor of 6870 and 6873 = 3

Step 1: Find the prime factorization of 6870

6870 = 2 x 3 x 5 x 229

Step 2: Find the prime factorization of 6873

6873 = 3 x 29 x 79

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

GCF = 3

Step 4: Therefore, the greatest common factor of 6870 and 6873 is 3