Greatest Common Factor of 8726 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 8726, 8729 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8726 and 8729 is 1.

GCF(8726,8729) = 1

GCF of 8726 and 8729

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

GCF of:
and

Greatest Common Factor of 8726 and 8729

GCF of 8726 and 8729 is 1

Prime Factorization of 8726


2 8726
4363 4363
1

Prime factors of 8726 are 2,4363. Prime factorization of 8726 in exponential form is:

8726 = 21×43631

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 8726 and 8729 is 1

Greatest Common Factor of 8726 and 8729 by matching factors method

Factors of 8726

List of positive integer factors of 8726 that divides 8726 without a remainder.

1,2,4363,8726

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 8726 and 8729. The biggest common factor number is the GCF number.
So the greatest common factor 8726 and 8729 is 1.

Also check out the Least Common Multiple of 8726 and 8729

Properties of GCF 8726 and 8729

(i) The GCF of 8726 and 8729 is associative

GCF of 8726 and 8729 = GCF of 8729 and 8726

Related Greatest Common Factor of 8726

Related Greatest Common Factor of 8729

Frequently Asked Questions on GCF of 8726 and 8729

1. What is the GCF of 8726 and 8729?

Answer: GCF of 8726 and 8729 is 1.

2. What are the Factors of 8726?

Answer: Factors of 8726 are 1, 2, 4363, 8726. There are 4 integers that are factors of 8726. The greatest factor of 8726 is 8726.

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 8726 and 8729?

Answer:

Greatest Common Factor of 8726 and 8729 = 1

Step 1: Find the prime factorization of 8726

8726 = 2 x 4363

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 8726 and 8729 is 1