Greatest Common Factor of 8717 and 8723

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 8717, 8723 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8717 and 8723 is 1.

GCF(8717,8723) = 1

GCF of 8717 and 8723

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

GCF of:
and

Greatest Common Factor of 8717 and 8723

GCF of 8717 and 8723 is 1

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

Prime Factorization of 8723


11 8723
13 793
61 61
1

Prime factors of 8723 are 11,13,61. Prime factorization of 8723 in exponential form is:

8723 = 111×131×611

∴ So by taking common prime factors GCF of 8717 and 8723 is 1

Greatest Common Factor of 8717 and 8723 by matching factors method

Factors of 8717

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

1,23,379,8717

Factors of 8723

List of positive integer factors of 8723 that divides 8723 without a remainder.

1,11,13,61,143,671,793,8723

Greatest Common Factor

We found the factors and prime factorization of 8717 and 8723. The biggest common factor number is the GCF number.
So the greatest common factor 8717 and 8723 is 1.

Also check out the Least Common Multiple of 8717 and 8723

Properties of GCF 8717 and 8723

(i) The GCF of 8717 and 8723 is associative

GCF of 8717 and 8723 = GCF of 8723 and 8717

Related Greatest Common Factor of 8717

Related Greatest Common Factor of 8723

Frequently Asked Questions on GCF of 8717 and 8723

1. What is the GCF of 8717 and 8723?

Answer: GCF of 8717 and 8723 is 1.

2. 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.

3. What are the Factors of 8723?

Answer: Factors of 8723 are 1, 11, 13, 61, 143, 671, 793, 8723. There are 8 integers that are factors of 8723. The greatest factor of 8723 is 8723.

4. How to Find the GCF of 8717 and 8723?

Answer:

Greatest Common Factor of 8717 and 8723 = 1

Step 1: Find the prime factorization of 8717

8717 = 23 x 379

Step 2: Find the prime factorization of 8723

8723 = 11 x 13 x 61

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 8717 and 8723 is 1