Greatest Common Factor of 6870 and 6872

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, 6872 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6870 and 6872 is 2.

GCF(6870,6872) = 2

GCF of 6870 and 6872

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

GCF of:
and

Greatest Common Factor of 6870 and 6872

GCF of 6870 and 6872 is 2

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 6872


2 6872
2 3436
2 1718
859 859
1

Prime factors of 6872 are 2,859. Prime factorization of 6872 in exponential form is:

6872 = 23×8591

∴ So by taking common prime factors GCF of 6870 and 6872 is 2

Greatest Common Factor of 6870 and 6872 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 6872

List of positive integer factors of 6872 that divides 6872 without a remainder.

1,2,4,8,859,1718,3436,6872

Greatest Common Factor

We found the factors and prime factorization of 6870 and 6872. The biggest common factor number is the GCF number.
So the greatest common factor 6870 and 6872 is 2.

Also check out the Least Common Multiple of 6870 and 6872

Properties of GCF 6870 and 6872

(i) The GCF of 6870 and 6872 is associative

GCF of 6870 and 6872 = GCF of 6872 and 6870

Related Greatest Common Factor of 6870

Related Greatest Common Factor of 6872

Frequently Asked Questions on GCF of 6870 and 6872

1. What is the GCF of 6870 and 6872?

Answer: GCF of 6870 and 6872 is 2.

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 6872?

Answer: Factors of 6872 are 1, 2, 4, 8, 859, 1718, 3436, 6872. There are 8 integers that are factors of 6872. The greatest factor of 6872 is 6872.

4. How to Find the GCF of 6870 and 6872?

Answer:

Greatest Common Factor of 6870 and 6872 = 2

Step 1: Find the prime factorization of 6870

6870 = 2 x 3 x 5 x 229

Step 2: Find the prime factorization of 6872

6872 = 2 x 2 x 2 x 859

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

GCF = 2

Step 4: Therefore, the greatest common factor of 6870 and 6872 is 2