Greatest Common Factor of 6872 and 6876

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, 6876 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6872 and 6876 is 4.

GCF(6872,6876) = 4

GCF of 6872 and 6876

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

GCF of:
and

Greatest Common Factor of 6872 and 6876

GCF of 6872 and 6876 is 4

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 6876


2 6876
2 3438
3 1719
3 573
191 191
1

Prime factors of 6876 are 2,3,191. Prime factorization of 6876 in exponential form is:

6876 = 22×32×1911

∴ So by taking common prime factors GCF of 6872 and 6876 is 4

Greatest Common Factor of 6872 and 6876 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 6876

List of positive integer factors of 6876 that divides 6876 without a remainder.

1,2,3,4,6,9,12,18,36,191,382,573,764,1146,1719,2292,3438,6876

Greatest Common Factor

We found the factors and prime factorization of 6872 and 6876. The biggest common factor number is the GCF number.
So the greatest common factor 6872 and 6876 is 4.

Also check out the Least Common Multiple of 6872 and 6876

Properties of GCF 6872 and 6876

(i) The GCF of 6872 and 6876 is associative

GCF of 6872 and 6876 = GCF of 6876 and 6872

Related Greatest Common Factor of 6872

Related Greatest Common Factor of 6876

Frequently Asked Questions on GCF of 6872 and 6876

1. What is the GCF of 6872 and 6876?

Answer: GCF of 6872 and 6876 is 4.

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 6876?

Answer: Factors of 6876 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 191, 382, 573, 764, 1146, 1719, 2292, 3438, 6876. There are 18 integers that are factors of 6876. The greatest factor of 6876 is 6876.

4. How to Find the GCF of 6872 and 6876?

Answer:

Greatest Common Factor of 6872 and 6876 = 4

Step 1: Find the prime factorization of 6872

6872 = 2 x 2 x 2 x 859

Step 2: Find the prime factorization of 6876

6876 = 2 x 2 x 3 x 3 x 191

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 6872 and 6876 is 4