Greatest Common Factor of 6876 and 6884

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 6876, 6884 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6876 and 6884 is 4.

GCF(6876,6884) = 4

GCF of 6876 and 6884

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

GCF of:
and

Greatest Common Factor of 6876 and 6884

GCF of 6876 and 6884 is 4

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

Prime Factorization of 6884


2 6884
2 3442
1721 1721
1

Prime factors of 6884 are 2,1721. Prime factorization of 6884 in exponential form is:

6884 = 22×17211

∴ So by taking common prime factors GCF of 6876 and 6884 is 4

Greatest Common Factor of 6876 and 6884 by matching factors method

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

Factors of 6884

List of positive integer factors of 6884 that divides 6884 without a remainder.

1,2,4,1721,3442,6884

Greatest Common Factor

We found the factors and prime factorization of 6876 and 6884. The biggest common factor number is the GCF number.
So the greatest common factor 6876 and 6884 is 4.

Also check out the Least Common Multiple of 6876 and 6884

Properties of GCF 6876 and 6884

(i) The GCF of 6876 and 6884 is associative

GCF of 6876 and 6884 = GCF of 6884 and 6876

Related Greatest Common Factor of 6876

Related Greatest Common Factor of 6884

Frequently Asked Questions on GCF of 6876 and 6884

1. What is the GCF of 6876 and 6884?

Answer: GCF of 6876 and 6884 is 4.

2. 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.

3. What are the Factors of 6884?

Answer: Factors of 6884 are 1, 2, 4, 1721, 3442, 6884. There are 6 integers that are factors of 6884. The greatest factor of 6884 is 6884.

4. How to Find the GCF of 6876 and 6884?

Answer:

Greatest Common Factor of 6876 and 6884 = 4

Step 1: Find the prime factorization of 6876

6876 = 2 x 2 x 3 x 3 x 191

Step 2: Find the prime factorization of 6884

6884 = 2 x 2 x 1721

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 6876 and 6884 is 4