Greatest Common Factor of 1709 and 1717

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 1709, 1717 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1709 and 1717 is 1.

GCF(1709,1717) = 1

GCF of 1709 and 1717

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

GCF of:
and

Greatest Common Factor of 1709 and 1717

GCF of 1709 and 1717 is 1

Prime Factorization of 1709


1709 1709
1

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

1709 = 17091

Prime Factorization of 1717


17 1717
101 101
1

Prime factors of 1717 are 17.Prime factorization of 1717 in exponential form is:

1717 = 171×1011

∴ So by taking common prime factors GCF of 1709 and 1717 is 1

Greatest Common Factor of 1709 and 1717 by matching factors method

Factors of 1709

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

1,1709

Factors of 1717

List of positive integer factors of 1717 that divides 1717 without a remainder.

1,17,101,1717

Greatest Common Factor

We found the factors and prime factorization of 1709 and 1717. The biggest common factor number is the GCF number.
So the greatest common factor 1709 and 1717 is 1.

Also check out the Least Common Multiple of 1709 and 1717

Properties of GCF 1709 and 1717

(i) The GCF of 1709 and 1717 is associative

GCF of 1709 and 1717 = GCF of 1717 and 1709

Related Greatest Common Factor of 1709

Related Greatest Common Factor of 1717

Frequently Asked Questions on GCF of 1709 and 1717

1. What is the GCF of 1709 and 1717?

Answer: GCF of 1709 and 1717 is 1.

2. 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.

3. What are the Factors of 1717?

Answer: Factors of 1717 are 1, 17, 101, 1717. There are 4 integers that are factors of 1717. The greatest factor of 1717 is 1717.

4. How to Find the GCF of 1709 and 1717?

Answer:

Greatest Common Factor of 1709 and 1717 = 1

Step 1: Find the prime factorization of 1709

1709 = 1709

Step 2: Find the prime factorization of 1717

1717 = 17 x 101

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 1709 and 1717 is 1