Greatest Common Factor of 8729 and 8734

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 8729, 8734 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8729 and 8734 is 1.

GCF(8729,8734) = 1

GCF of 8729 and 8734

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

GCF of:
and

Greatest Common Factor of 8729 and 8734

GCF of 8729 and 8734 is 1

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

Prime Factorization of 8734


2 8734
11 4367
397 397
1

Prime factors of 8734 are 2,11,397. Prime factorization of 8734 in exponential form is:

8734 = 21×111×3971

∴ So by taking common prime factors GCF of 8729 and 8734 is 1

Greatest Common Factor of 8729 and 8734 by matching factors method

Factors of 8729

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

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

Factors of 8734

List of positive integer factors of 8734 that divides 8734 without a remainder.

1,2,11,22,397,794,4367,8734

Greatest Common Factor

We found the factors and prime factorization of 8729 and 8734. The biggest common factor number is the GCF number.
So the greatest common factor 8729 and 8734 is 1.

Also check out the Least Common Multiple of 8729 and 8734

Properties of GCF 8729 and 8734

(i) The GCF of 8729 and 8734 is associative

GCF of 8729 and 8734 = GCF of 8734 and 8729

Related Greatest Common Factor of 8729

Related Greatest Common Factor of 8734

Frequently Asked Questions on GCF of 8729 and 8734

1. What is the GCF of 8729 and 8734?

Answer: GCF of 8729 and 8734 is 1.

2. 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.

3. What are the Factors of 8734?

Answer: Factors of 8734 are 1, 2, 11, 22, 397, 794, 4367, 8734. There are 8 integers that are factors of 8734. The greatest factor of 8734 is 8734.

4. How to Find the GCF of 8729 and 8734?

Answer:

Greatest Common Factor of 8729 and 8734 = 1

Step 1: Find the prime factorization of 8729

8729 = 7 x 29 x 43

Step 2: Find the prime factorization of 8734

8734 = 2 x 11 x 397

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 8729 and 8734 is 1