Greatest Common Factor of 6872 and 6874

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 6872, 6874 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6872 and 6874 is 2.

GCF(6872,6874) = 2

GCF of 6872 and 6874

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

GCF of:
and

Greatest Common Factor of 6872 and 6874

GCF of 6872 and 6874 is 2

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

Prime Factorization of 6874


2 6874
7 3437
491 491
1

Prime factors of 6874 are 2,7,491. Prime factorization of 6874 in exponential form is:

6874 = 21×71×4911

∴ So by taking common prime factors GCF of 6872 and 6874 is 2

Greatest Common Factor of 6872 and 6874 by matching factors method

Factors of 6872

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

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

Factors of 6874

List of positive integer factors of 6874 that divides 6874 without a remainder.

1,2,7,14,491,982,3437,6874

Greatest Common Factor

We found the factors and prime factorization of 6872 and 6874. The biggest common factor number is the GCF number.
So the greatest common factor 6872 and 6874 is 2.

Also check out the Least Common Multiple of 6872 and 6874

Properties of GCF 6872 and 6874

(i) The GCF of 6872 and 6874 is associative

GCF of 6872 and 6874 = GCF of 6874 and 6872

Related Greatest Common Factor of 6872

Related Greatest Common Factor of 6874

Frequently Asked Questions on GCF of 6872 and 6874

1. What is the GCF of 6872 and 6874?

Answer: GCF of 6872 and 6874 is 2.

2. 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.

3. What are the Factors of 6874?

Answer: Factors of 6874 are 1, 2, 7, 14, 491, 982, 3437, 6874. There are 8 integers that are factors of 6874. The greatest factor of 6874 is 6874.

4. How to Find the GCF of 6872 and 6874?

Answer:

Greatest Common Factor of 6872 and 6874 = 2

Step 1: Find the prime factorization of 6872

6872 = 2 x 2 x 2 x 859

Step 2: Find the prime factorization of 6874

6874 = 2 x 7 x 491

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 6872 and 6874 is 2