Greatest Common Factor of 8723 and 8729

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 8723, 8729 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8723 and 8729 is 1.

GCF(8723,8729) = 1

GCF of 8723 and 8729

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

GCF of:
and

Greatest Common Factor of 8723 and 8729

GCF of 8723 and 8729 is 1

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

Prime Factorization of 8729


7 8729
29 1247
43 43
1

Prime factors of 8729 are 7,29,43. Prime factorization of 8729 in exponential form is:

8729 = 71×291×431

∴ So by taking common prime factors GCF of 8723 and 8729 is 1

Greatest Common Factor of 8723 and 8729 by matching factors method

Factors of 8723

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

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

Factors of 8729

List of positive integer factors of 8729 that divides 8729 without a remainder.

1,7,29,43,203,301,1247,8729

Greatest Common Factor

We found the factors and prime factorization of 8723 and 8729. The biggest common factor number is the GCF number.
So the greatest common factor 8723 and 8729 is 1.

Also check out the Least Common Multiple of 8723 and 8729

Properties of GCF 8723 and 8729

(i) The GCF of 8723 and 8729 is associative

GCF of 8723 and 8729 = GCF of 8729 and 8723

Related Greatest Common Factor of 8723

Related Greatest Common Factor of 8729

Frequently Asked Questions on GCF of 8723 and 8729

1. What is the GCF of 8723 and 8729?

Answer: GCF of 8723 and 8729 is 1.

2. 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.

3. What are the Factors of 8729?

Answer: Factors of 8729 are 1, 7, 29, 43, 203, 301, 1247, 8729. There are 8 integers that are factors of 8729. The greatest factor of 8729 is 8729.

4. How to Find the GCF of 8723 and 8729?

Answer:

Greatest Common Factor of 8723 and 8729 = 1

Step 1: Find the prime factorization of 8723

8723 = 11 x 13 x 61

Step 2: Find the prime factorization of 8729

8729 = 7 x 29 x 43

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 8723 and 8729 is 1