Greatest Common Factor of 8709 and 8717

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 8709, 8717 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8709 and 8717 is 1.

GCF(8709,8717) = 1

GCF of 8709 and 8717

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

GCF of:
and

Greatest Common Factor of 8709 and 8717

GCF of 8709 and 8717 is 1

Prime Factorization of 8709


3 8709
2903 2903
1

Prime factors of 8709 are 3,2903. Prime factorization of 8709 in exponential form is:

8709 = 31×29031

Prime Factorization of 8717


23 8717
379 379
1

Prime factors of 8717 are 23,379. Prime factorization of 8717 in exponential form is:

8717 = 231×3791

∴ So by taking common prime factors GCF of 8709 and 8717 is 1

Greatest Common Factor of 8709 and 8717 by matching factors method

Factors of 8709

List of positive integer factors of 8709 that divides 8709 without a remainder.

1,3,2903,8709

Factors of 8717

List of positive integer factors of 8717 that divides 8717 without a remainder.

1,23,379,8717

Greatest Common Factor

We found the factors and prime factorization of 8709 and 8717. The biggest common factor number is the GCF number.
So the greatest common factor 8709 and 8717 is 1.

Also check out the Least Common Multiple of 8709 and 8717

Properties of GCF 8709 and 8717

(i) The GCF of 8709 and 8717 is associative

GCF of 8709 and 8717 = GCF of 8717 and 8709

Related Greatest Common Factor of 8709

Related Greatest Common Factor of 8717

Frequently Asked Questions on GCF of 8709 and 8717

1. What is the GCF of 8709 and 8717?

Answer: GCF of 8709 and 8717 is 1.

2. What are the Factors of 8709?

Answer: Factors of 8709 are 1, 3, 2903, 8709. There are 4 integers that are factors of 8709. The greatest factor of 8709 is 8709.

3. What are the Factors of 8717?

Answer: Factors of 8717 are 1, 23, 379, 8717. There are 4 integers that are factors of 8717. The greatest factor of 8717 is 8717.

4. How to Find the GCF of 8709 and 8717?

Answer:

Greatest Common Factor of 8709 and 8717 = 1

Step 1: Find the prime factorization of 8709

8709 = 3 x 2903

Step 2: Find the prime factorization of 8717

8717 = 23 x 379

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 8709 and 8717 is 1