Greatest Common Factor of 705 and 711

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 705, 711 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 705 and 711 is 3.

GCF(705,711) = 3

GCF of 705 and 711

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

GCF of:
and

Greatest Common Factor of 705 and 711

GCF of 705 and 711 is 3

Prime Factorization of 705


3 705
5 235
47 47
1

Prime factors of 705 are 3,5,47. Prime factorization of 705 in exponential form is:

705 = 31×51×471

Prime Factorization of 711


3 711
3 237
79 79
1

Prime factors of 711 are 3,79. Prime factorization of 711 in exponential form is:

711 = 32×791

∴ So by taking common prime factors GCF of 705 and 711 is 3

Greatest Common Factor of 705 and 711 by matching factors method

Factors of 705

List of positive integer factors of 705 that divides 705 without a remainder.

1,3,5,15,47,141,235,705

Factors of 711

List of positive integer factors of 711 that divides 711 without a remainder.

1,3,9,79,237,711

Greatest Common Factor

We found the factors and prime factorization of 705 and 711. The biggest common factor number is the GCF number.
So the greatest common factor 705 and 711 is 3.

Also check out the Least Common Multiple of 705 and 711

Properties of GCF 705 and 711

(i) The GCF of 705 and 711 is associative

GCF of 705 and 711 = GCF of 711 and 705

Related Greatest Common Factor of 705

Related Greatest Common Factor of 711

Frequently Asked Questions on GCF of 705 and 711

1. What is the GCF of 705 and 711?

Answer: GCF of 705 and 711 is 3.

2. What are the Factors of 705?

Answer: Factors of 705 are 1, 3, 5, 15, 47, 141, 235, 705. There are 8 integers that are factors of 705. The greatest factor of 705 is 705.

3. What are the Factors of 711?

Answer: Factors of 711 are 1, 3, 9, 79, 237, 711. There are 6 integers that are factors of 711. The greatest factor of 711 is 711.

4. How to Find the GCF of 705 and 711?

Answer:

Greatest Common Factor of 705 and 711 = 3

Step 1: Find the prime factorization of 705

705 = 3 x 5 x 47

Step 2: Find the prime factorization of 711

711 = 3 x 3 x 79

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 705 and 711 is 3