Greatest Common Factor of 1705 and 1709

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 1705, 1709 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1705 and 1709 is 1.

GCF(1705,1709) = 1

GCF of 1705 and 1709

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

GCF of:
and

Greatest Common Factor of 1705 and 1709

GCF of 1705 and 1709 is 1

Prime Factorization of 1705


5 1705
11 341
31 31
1

Prime factors of 1705 are 5,11,31. Prime factorization of 1705 in exponential form is:

1705 = 51×111×311

Prime Factorization of 1709


1709 1709
1

Prime factors of 1709 are 1709. Prime factorization of 1709 in exponential form is:

1709 = 17091

∴ So by taking common prime factors GCF of 1705 and 1709 is 1

Greatest Common Factor of 1705 and 1709 by matching factors method

Factors of 1705

List of positive integer factors of 1705 that divides 1705 without a remainder.

1,5,11,31,55,155,341,1705

Factors of 1709

List of positive integer factors of 1709 that divides 1709 without a remainder.

1,1709

Greatest Common Factor

We found the factors and prime factorization of 1705 and 1709. The biggest common factor number is the GCF number.
So the greatest common factor 1705 and 1709 is 1.

Also check out the Least Common Multiple of 1705 and 1709

Properties of GCF 1705 and 1709

(i) The GCF of 1705 and 1709 is associative

GCF of 1705 and 1709 = GCF of 1709 and 1705

Related Greatest Common Factor of 1705

Related Greatest Common Factor of 1709

Frequently Asked Questions on GCF of 1705 and 1709

1. What is the GCF of 1705 and 1709?

Answer: GCF of 1705 and 1709 is 1.

2. What are the Factors of 1705?

Answer: Factors of 1705 are 1, 5, 11, 31, 55, 155, 341, 1705. There are 8 integers that are factors of 1705. The greatest factor of 1705 is 1705.

3. What are the Factors of 1709?

Answer: Factors of 1709 are 1, 1709. There are 2 integers that are factors of 1709. The greatest factor of 1709 is 1709.

4. How to Find the GCF of 1705 and 1709?

Answer:

Greatest Common Factor of 1705 and 1709 = 1

Step 1: Find the prime factorization of 1705

1705 = 5 x 11 x 31

Step 2: Find the prime factorization of 1709

1709 = 1709

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 1705 and 1709 is 1