Greatest Common Factor of 6710 and 6716

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, 6716 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6710 and 6716 is 2.

GCF(6710,6716) = 2

GCF of 6710 and 6716

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

GCF of:
and

Greatest Common Factor of 6710 and 6716

GCF of 6710 and 6716 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 6716


2 6716
2 3358
23 1679
73 73
1

Prime factors of 6716 are 2,23,73. Prime factorization of 6716 in exponential form is:

6716 = 22×231×731

∴ So by taking common prime factors GCF of 6710 and 6716 is 2

Greatest Common Factor of 6710 and 6716 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 6716

List of positive integer factors of 6716 that divides 6716 without a remainder.

1,2,4,23,46,73,92,146,292,1679,3358,6716

Greatest Common Factor

We found the factors and prime factorization of 6710 and 6716. The biggest common factor number is the GCF number.
So the greatest common factor 6710 and 6716 is 2.

Also check out the Least Common Multiple of 6710 and 6716

Properties of GCF 6710 and 6716

(i) The GCF of 6710 and 6716 is associative

GCF of 6710 and 6716 = GCF of 6716 and 6710

Related Greatest Common Factor of 6710

Related Greatest Common Factor of 6716

Frequently Asked Questions on GCF of 6710 and 6716

1. What is the GCF of 6710 and 6716?

Answer: GCF of 6710 and 6716 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 6716?

Answer: Factors of 6716 are 1, 2, 4, 23, 46, 73, 92, 146, 292, 1679, 3358, 6716. There are 12 integers that are factors of 6716. The greatest factor of 6716 is 6716.

4. How to Find the GCF of 6710 and 6716?

Answer:

Greatest Common Factor of 6710 and 6716 = 2

Step 1: Find the prime factorization of 6710

6710 = 2 x 5 x 11 x 61

Step 2: Find the prime factorization of 6716

6716 = 2 x 2 x 23 x 73

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 6716 is 2