Greatest Common Factor of 6705 and 6708

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 6705, 6708 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6705 and 6708 is 3.

GCF(6705,6708) = 3

GCF of 6705 and 6708

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

GCF of:
and

Greatest Common Factor of 6705 and 6708

GCF of 6705 and 6708 is 3

Prime Factorization of 6705


3 6705
3 2235
5 745
149 149
1

Prime factors of 6705 are 3,5,149. Prime factorization of 6705 in exponential form is:

6705 = 32×51×1491

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

∴ So by taking common prime factors GCF of 6705 and 6708 is 3

Greatest Common Factor of 6705 and 6708 by matching factors method

Factors of 6705

List of positive integer factors of 6705 that divides 6705 without a remainder.

1,3,5,9,15,45,149,447,745,1341,2235,6705

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

Greatest Common Factor

We found the factors and prime factorization of 6705 and 6708. The biggest common factor number is the GCF number.
So the greatest common factor 6705 and 6708 is 3.

Also check out the Least Common Multiple of 6705 and 6708

Properties of GCF 6705 and 6708

(i) The GCF of 6705 and 6708 is associative

GCF of 6705 and 6708 = GCF of 6708 and 6705

Related Greatest Common Factor of 6705

Related Greatest Common Factor of 6708

Frequently Asked Questions on GCF of 6705 and 6708

1. What is the GCF of 6705 and 6708?

Answer: GCF of 6705 and 6708 is 3.

2. What are the Factors of 6705?

Answer: Factors of 6705 are 1, 3, 5, 9, 15, 45, 149, 447, 745, 1341, 2235, 6705. There are 12 integers that are factors of 6705. The greatest factor of 6705 is 6705.

3. 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.

4. How to Find the GCF of 6705 and 6708?

Answer:

Greatest Common Factor of 6705 and 6708 = 3

Step 1: Find the prime factorization of 6705

6705 = 3 x 3 x 5 x 149

Step 2: Find the prime factorization of 6708

6708 = 2 x 2 x 3 x 13 x 43

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

GCF = 3

Step 4: Therefore, the greatest common factor of 6705 and 6708 is 3