Greatest Common Factor of 6710 and 6718

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 6710, 6718 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6710 and 6718 is 2.

GCF(6710,6718) = 2

GCF of 6710 and 6718

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

GCF of:
and

Greatest Common Factor of 6710 and 6718

GCF of 6710 and 6718 is 2

Prime Factorization of 6710


2 6710
5 3355
11 671
61 61
1

Prime factors of 6710 are 2,5,11,61. Prime factorization of 6710 in exponential form is:

6710 = 21×51×111×611

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

∴ So by taking common prime factors GCF of 6710 and 6718 is 2

Greatest Common Factor of 6710 and 6718 by matching factors method

Factors of 6710

List of positive integer factors of 6710 that divides 6710 without a remainder.

1,2,5,10,11,22,55,61,110,122,305,610,671,1342,3355,6710

Factors of 6718

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

1,2,3359,6718

Greatest Common Factor

We found the factors and prime factorization of 6710 and 6718. The biggest common factor number is the GCF number.
So the greatest common factor 6710 and 6718 is 2.

Also check out the Least Common Multiple of 6710 and 6718

Properties of GCF 6710 and 6718

(i) The GCF of 6710 and 6718 is associative

GCF of 6710 and 6718 = GCF of 6718 and 6710

Related Greatest Common Factor of 6710

Related Greatest Common Factor of 6718

Frequently Asked Questions on GCF of 6710 and 6718

1. What is the GCF of 6710 and 6718?

Answer: GCF of 6710 and 6718 is 2.

2. What are the Factors of 6710?

Answer: Factors of 6710 are 1, 2, 5, 10, 11, 22, 55, 61, 110, 122, 305, 610, 671, 1342, 3355, 6710. There are 16 integers that are factors of 6710. The greatest factor of 6710 is 6710.

3. 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.

4. How to Find the GCF of 6710 and 6718?

Answer:

Greatest Common Factor of 6710 and 6718 = 2

Step 1: Find the prime factorization of 6710

6710 = 2 x 5 x 11 x 61

Step 2: Find the prime factorization of 6718

6718 = 2 x 3359

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 6710 and 6718 is 2