Greatest Common Factor of 705 and 709

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, 709 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 705 and 709 is 1.

GCF(705,709) = 1

GCF of 705 and 709

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

GCF of:
and

Greatest Common Factor of 705 and 709

GCF of 705 and 709 is 1

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 709


709 709
1

Prime factors of 709 are 709. Prime factorization of 709 in exponential form is:

709 = 7091

∴ So by taking common prime factors GCF of 705 and 709 is 1

Greatest Common Factor of 705 and 709 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 709

List of positive integer factors of 709 that divides 709 without a remainder.

1,709

Greatest Common Factor

We found the factors and prime factorization of 705 and 709. The biggest common factor number is the GCF number.
So the greatest common factor 705 and 709 is 1.

Also check out the Least Common Multiple of 705 and 709

Properties of GCF 705 and 709

(i) The GCF of 705 and 709 is associative

GCF of 705 and 709 = GCF of 709 and 705

Related Greatest Common Factor of 705

Related Greatest Common Factor of 709

Frequently Asked Questions on GCF of 705 and 709

1. What is the GCF of 705 and 709?

Answer: GCF of 705 and 709 is 1.

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 709?

Answer: Factors of 709 are 1, 709. There are 2 integers that are factors of 709. The greatest factor of 709 is 709.

4. How to Find the GCF of 705 and 709?

Answer:

Greatest Common Factor of 705 and 709 = 1

Step 1: Find the prime factorization of 705

705 = 3 x 5 x 47

Step 2: Find the prime factorization of 709

709 = 709

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 705 and 709 is 1