Greatest Common Factor of 6718 and 6722

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 6718, 6722 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6718 and 6722 is 2.

GCF(6718,6722) = 2

GCF of 6718 and 6722

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

GCF of:
and

Greatest Common Factor of 6718 and 6722

GCF of 6718 and 6722 is 2

Prime Factorization of 6718


2 6718
3359 3359
1

Prime factors of 6718 are 2,3359. Prime factorization of 6718 in exponential form is:

6718 = 21×33591

Prime Factorization of 6722


2 6722
3361 3361
1

Prime factors of 6722 are 2,3361. Prime factorization of 6722 in exponential form is:

6722 = 21×33611

∴ So by taking common prime factors GCF of 6718 and 6722 is 2

Greatest Common Factor of 6718 and 6722 by matching factors method

Factors of 6718

List of positive integer factors of 6718 that divides 6718 without a remainder.

1,2,3359,6718

Factors of 6722

List of positive integer factors of 6722 that divides 6722 without a remainder.

1,2,3361,6722

Greatest Common Factor

We found the factors and prime factorization of 6718 and 6722. The biggest common factor number is the GCF number.
So the greatest common factor 6718 and 6722 is 2.

Also check out the Least Common Multiple of 6718 and 6722

Properties of GCF 6718 and 6722

(i) The GCF of 6718 and 6722 is associative

GCF of 6718 and 6722 = GCF of 6722 and 6718

Related Greatest Common Factor of 6718

Related Greatest Common Factor of 6722

Frequently Asked Questions on GCF of 6718 and 6722

1. What is the GCF of 6718 and 6722?

Answer: GCF of 6718 and 6722 is 2.

2. What are the Factors of 6718?

Answer: Factors of 6718 are 1, 2, 3359, 6718. There are 4 integers that are factors of 6718. The greatest factor of 6718 is 6718.

3. What are the Factors of 6722?

Answer: Factors of 6722 are 1, 2, 3361, 6722. There are 4 integers that are factors of 6722. The greatest factor of 6722 is 6722.

4. How to Find the GCF of 6718 and 6722?

Answer:

Greatest Common Factor of 6718 and 6722 = 2

Step 1: Find the prime factorization of 6718

6718 = 2 x 3359

Step 2: Find the prime factorization of 6722

6722 = 2 x 3361

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 6718 and 6722 is 2