Greatest Common Factor of 6710 and 6715

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, 6715 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6710 and 6715 is 5.

GCF(6710,6715) = 5

GCF of 6710 and 6715

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

GCF of:
and

Greatest Common Factor of 6710 and 6715

GCF of 6710 and 6715 is 5

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 6715


5 6715
17 1343
79 79
1

Prime factors of 6715 are 5,17,79. Prime factorization of 6715 in exponential form is:

6715 = 51×171×791

∴ So by taking common prime factors GCF of 6710 and 6715 is 5

Greatest Common Factor of 6710 and 6715 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 6715

List of positive integer factors of 6715 that divides 6715 without a remainder.

1,5,17,79,85,395,1343,6715

Greatest Common Factor

We found the factors and prime factorization of 6710 and 6715. The biggest common factor number is the GCF number.
So the greatest common factor 6710 and 6715 is 5.

Also check out the Least Common Multiple of 6710 and 6715

Properties of GCF 6710 and 6715

(i) The GCF of 6710 and 6715 is associative

GCF of 6710 and 6715 = GCF of 6715 and 6710

Related Greatest Common Factor of 6710

Related Greatest Common Factor of 6715

Frequently Asked Questions on GCF of 6710 and 6715

1. What is the GCF of 6710 and 6715?

Answer: GCF of 6710 and 6715 is 5.

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 6715?

Answer: Factors of 6715 are 1, 5, 17, 79, 85, 395, 1343, 6715. There are 8 integers that are factors of 6715. The greatest factor of 6715 is 6715.

4. How to Find the GCF of 6710 and 6715?

Answer:

Greatest Common Factor of 6710 and 6715 = 5

Step 1: Find the prime factorization of 6710

6710 = 2 x 5 x 11 x 61

Step 2: Find the prime factorization of 6715

6715 = 5 x 17 x 79

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

GCF = 5

Step 4: Therefore, the greatest common factor of 6710 and 6715 is 5