Greatest Common Factor of 6708 and 6714

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 6708, 6714 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6708 and 6714 is 6.

GCF(6708,6714) = 6

GCF of 6708 and 6714

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

GCF of:
and

Greatest Common Factor of 6708 and 6714

GCF of 6708 and 6714 is 6

Prime Factorization of 6708


2 6708
2 3354
3 1677
13 559
43 43
1

Prime factors of 6708 are 2,3,13,43. Prime factorization of 6708 in exponential form is:

6708 = 22×31×131×431

Prime Factorization of 6714


2 6714
3 3357
3 1119
373 373
1

Prime factors of 6714 are 2,3,373. Prime factorization of 6714 in exponential form is:

6714 = 21×32×3731

∴ So by taking common prime factors GCF of 6708 and 6714 is 6

Greatest Common Factor of 6708 and 6714 by matching factors method

Factors of 6708

List of positive integer factors of 6708 that divides 6708 without a remainder.

1,2,3,4,6,12,13,26,39,43,52,78,86,129,156,172,258,516,559,1118,1677,2236,3354,6708

Factors of 6714

List of positive integer factors of 6714 that divides 6714 without a remainder.

1,2,3,6,9,18,373,746,1119,2238,3357,6714

Greatest Common Factor

We found the factors and prime factorization of 6708 and 6714. The biggest common factor number is the GCF number.
So the greatest common factor 6708 and 6714 is 6.

Also check out the Least Common Multiple of 6708 and 6714

Properties of GCF 6708 and 6714

(i) The GCF of 6708 and 6714 is associative

GCF of 6708 and 6714 = GCF of 6714 and 6708

Related Greatest Common Factor of 6708

Related Greatest Common Factor of 6714

Frequently Asked Questions on GCF of 6708 and 6714

1. What is the GCF of 6708 and 6714?

Answer: GCF of 6708 and 6714 is 6.

2. What are the Factors of 6708?

Answer: Factors of 6708 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 43, 52, 78, 86, 129, 156, 172, 258, 516, 559, 1118, 1677, 2236, 3354, 6708. There are 24 integers that are factors of 6708. The greatest factor of 6708 is 6708.

3. What are the Factors of 6714?

Answer: Factors of 6714 are 1, 2, 3, 6, 9, 18, 373, 746, 1119, 2238, 3357, 6714. There are 12 integers that are factors of 6714. The greatest factor of 6714 is 6714.

4. How to Find the GCF of 6708 and 6714?

Answer:

Greatest Common Factor of 6708 and 6714 = 6

Step 1: Find the prime factorization of 6708

6708 = 2 x 2 x 3 x 13 x 43

Step 2: Find the prime factorization of 6714

6714 = 2 x 3 x 3 x 373

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 6708 and 6714 is 6