Greatest Common Factor of 6705 and 6711

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, 6711 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6705 and 6711 is 3.

GCF(6705,6711) = 3

GCF of 6705 and 6711

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

GCF of:
and

Greatest Common Factor of 6705 and 6711

GCF of 6705 and 6711 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 6711


3 6711
2237 2237
1

Prime factors of 6711 are 3,2237. Prime factorization of 6711 in exponential form is:

6711 = 31×22371

∴ So by taking common prime factors GCF of 6705 and 6711 is 3

Greatest Common Factor of 6705 and 6711 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 6711

List of positive integer factors of 6711 that divides 6711 without a remainder.

1,3,2237,6711

Greatest Common Factor

We found the factors and prime factorization of 6705 and 6711. The biggest common factor number is the GCF number.
So the greatest common factor 6705 and 6711 is 3.

Also check out the Least Common Multiple of 6705 and 6711

Properties of GCF 6705 and 6711

(i) The GCF of 6705 and 6711 is associative

GCF of 6705 and 6711 = GCF of 6711 and 6705

Related Greatest Common Factor of 6705

Related Greatest Common Factor of 6711

Frequently Asked Questions on GCF of 6705 and 6711

1. What is the GCF of 6705 and 6711?

Answer: GCF of 6705 and 6711 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 6711?

Answer: Factors of 6711 are 1, 3, 2237, 6711. There are 4 integers that are factors of 6711. The greatest factor of 6711 is 6711.

4. How to Find the GCF of 6705 and 6711?

Answer:

Greatest Common Factor of 6705 and 6711 = 3

Step 1: Find the prime factorization of 6705

6705 = 3 x 3 x 5 x 149

Step 2: Find the prime factorization of 6711

6711 = 3 x 2237

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 6711 is 3