Greatest Common Factor of 705 and 710

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, 710 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 705 and 710 is 5.

GCF(705,710) = 5

GCF of 705 and 710

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

GCF of:
and

Greatest Common Factor of 705 and 710

GCF of 705 and 710 is 5

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 710


2 710
5 355
71 71
1

Prime factors of 710 are 2,5,71. Prime factorization of 710 in exponential form is:

710 = 21×51×711

∴ So by taking common prime factors GCF of 705 and 710 is 5

Greatest Common Factor of 705 and 710 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 710

List of positive integer factors of 710 that divides 710 without a remainder.

1,2,5,10,71,142,355,710

Greatest Common Factor

We found the factors and prime factorization of 705 and 710. The biggest common factor number is the GCF number.
So the greatest common factor 705 and 710 is 5.

Also check out the Least Common Multiple of 705 and 710

Properties of GCF 705 and 710

(i) The GCF of 705 and 710 is associative

GCF of 705 and 710 = GCF of 710 and 705

Related Greatest Common Factor of 705

Related Greatest Common Factor of 710

Frequently Asked Questions on GCF of 705 and 710

1. What is the GCF of 705 and 710?

Answer: GCF of 705 and 710 is 5.

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 710?

Answer: Factors of 710 are 1, 2, 5, 10, 71, 142, 355, 710. There are 8 integers that are factors of 710. The greatest factor of 710 is 710.

4. How to Find the GCF of 705 and 710?

Answer:

Greatest Common Factor of 705 and 710 = 5

Step 1: Find the prime factorization of 705

705 = 3 x 5 x 47

Step 2: Find the prime factorization of 710

710 = 2 x 5 x 71

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

GCF = 5

Step 4: Therefore, the greatest common factor of 705 and 710 is 5