Greatest Common Factor of 6706 and 6713

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 6706, 6713 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6706 and 6713 is 7.

GCF(6706,6713) = 7

GCF of 6706 and 6713

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

GCF of:
and

Greatest Common Factor of 6706 and 6713

GCF of 6706 and 6713 is 7

Prime Factorization of 6706


2 6706
7 3353
479 479
1

Prime factors of 6706 are 2,7,479. Prime factorization of 6706 in exponential form is:

6706 = 21×71×4791

Prime Factorization of 6713


7 6713
7 959
137 137
1

Prime factors of 6713 are 7,137. Prime factorization of 6713 in exponential form is:

6713 = 72×1371

∴ So by taking common prime factors GCF of 6706 and 6713 is 7

Greatest Common Factor of 6706 and 6713 by matching factors method

Factors of 6706

List of positive integer factors of 6706 that divides 6706 without a remainder.

1,2,7,14,479,958,3353,6706

Factors of 6713

List of positive integer factors of 6713 that divides 6713 without a remainder.

1,7,49,137,959,6713

Greatest Common Factor

We found the factors and prime factorization of 6706 and 6713. The biggest common factor number is the GCF number.
So the greatest common factor 6706 and 6713 is 7.

Also check out the Least Common Multiple of 6706 and 6713

Properties of GCF 6706 and 6713

(i) The GCF of 6706 and 6713 is associative

GCF of 6706 and 6713 = GCF of 6713 and 6706

Related Greatest Common Factor of 6706

Related Greatest Common Factor of 6713

Frequently Asked Questions on GCF of 6706 and 6713

1. What is the GCF of 6706 and 6713?

Answer: GCF of 6706 and 6713 is 7.

2. What are the Factors of 6706?

Answer: Factors of 6706 are 1, 2, 7, 14, 479, 958, 3353, 6706. There are 8 integers that are factors of 6706. The greatest factor of 6706 is 6706.

3. What are the Factors of 6713?

Answer: Factors of 6713 are 1, 7, 49, 137, 959, 6713. There are 6 integers that are factors of 6713. The greatest factor of 6713 is 6713.

4. How to Find the GCF of 6706 and 6713?

Answer:

Greatest Common Factor of 6706 and 6713 = 7

Step 1: Find the prime factorization of 6706

6706 = 2 x 7 x 479

Step 2: Find the prime factorization of 6713

6713 = 7 x 7 x 137

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

GCF = 7

Step 4: Therefore, the greatest common factor of 6706 and 6713 is 7