Greatest Common Factor of 6676 and 6684

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 6676, 6684 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6676 and 6684 is 4.

GCF(6676,6684) = 4

GCF of 6676 and 6684

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

GCF of:
and

Greatest Common Factor of 6676 and 6684

GCF of 6676 and 6684 is 4

Prime Factorization of 6676


2 6676
2 3338
1669 1669
1

Prime factors of 6676 are 2,1669. Prime factorization of 6676 in exponential form is:

6676 = 22×16691

Prime Factorization of 6684


2 6684
2 3342
3 1671
557 557
1

Prime factors of 6684 are 2,3,557. Prime factorization of 6684 in exponential form is:

6684 = 22×31×5571

∴ So by taking common prime factors GCF of 6676 and 6684 is 4

Greatest Common Factor of 6676 and 6684 by matching factors method

Factors of 6676

List of positive integer factors of 6676 that divides 6676 without a remainder.

1,2,4,1669,3338,6676

Factors of 6684

List of positive integer factors of 6684 that divides 6684 without a remainder.

1,2,3,4,6,12,557,1114,1671,2228,3342,6684

Greatest Common Factor

We found the factors and prime factorization of 6676 and 6684. The biggest common factor number is the GCF number.
So the greatest common factor 6676 and 6684 is 4.

Also check out the Least Common Multiple of 6676 and 6684

Properties of GCF 6676 and 6684

(i) The GCF of 6676 and 6684 is associative

GCF of 6676 and 6684 = GCF of 6684 and 6676

Related Greatest Common Factor of 6676

Related Greatest Common Factor of 6684

Frequently Asked Questions on GCF of 6676 and 6684

1. What is the GCF of 6676 and 6684?

Answer: GCF of 6676 and 6684 is 4.

2. What are the Factors of 6676?

Answer: Factors of 6676 are 1, 2, 4, 1669, 3338, 6676. There are 6 integers that are factors of 6676. The greatest factor of 6676 is 6676.

3. What are the Factors of 6684?

Answer: Factors of 6684 are 1, 2, 3, 4, 6, 12, 557, 1114, 1671, 2228, 3342, 6684. There are 12 integers that are factors of 6684. The greatest factor of 6684 is 6684.

4. How to Find the GCF of 6676 and 6684?

Answer:

Greatest Common Factor of 6676 and 6684 = 4

Step 1: Find the prime factorization of 6676

6676 = 2 x 2 x 1669

Step 2: Find the prime factorization of 6684

6684 = 2 x 2 x 3 x 557

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 6676 and 6684 is 4