Greatest Common Factor of 6712 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 6712, 6718 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6712 and 6718 is 2.

GCF(6712,6718) = 2

GCF of 6712 and 6718

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

GCF of:
and

Greatest Common Factor of 6712 and 6718

GCF of 6712 and 6718 is 2

Prime Factorization of 6712


2 6712
2 3356
2 1678
839 839
1

Prime factors of 6712 are 2,839. Prime factorization of 6712 in exponential form is:

6712 = 23×8391

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 6712 and 6718 is 2

Greatest Common Factor of 6712 and 6718 by matching factors method

Factors of 6712

List of positive integer factors of 6712 that divides 6712 without a remainder.

1,2,4,8,839,1678,3356,6712

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 6712 and 6718. The biggest common factor number is the GCF number.
So the greatest common factor 6712 and 6718 is 2.

Also check out the Least Common Multiple of 6712 and 6718

Properties of GCF 6712 and 6718

(i) The GCF of 6712 and 6718 is associative

GCF of 6712 and 6718 = GCF of 6718 and 6712

Related Greatest Common Factor of 6712

Related Greatest Common Factor of 6718

Frequently Asked Questions on GCF of 6712 and 6718

1. What is the GCF of 6712 and 6718?

Answer: GCF of 6712 and 6718 is 2.

2. What are the Factors of 6712?

Answer: Factors of 6712 are 1, 2, 4, 8, 839, 1678, 3356, 6712. There are 8 integers that are factors of 6712. The greatest factor of 6712 is 6712.

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 6712 and 6718?

Answer:

Greatest Common Factor of 6712 and 6718 = 2

Step 1: Find the prime factorization of 6712

6712 = 2 x 2 x 2 x 839

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 6712 and 6718 is 2