Greatest Common Factor of 8729 and 8732

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, 8732 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8729 and 8732 is 1.

GCF(8729,8732) = 1

GCF of 8729 and 8732

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

GCF of:
and

Greatest Common Factor of 8729 and 8732

GCF of 8729 and 8732 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 8732


2 8732
2 4366
37 2183
59 59
1

Prime factors of 8732 are 2,37,59. Prime factorization of 8732 in exponential form is:

8732 = 22×371×591

∴ So by taking common prime factors GCF of 8729 and 8732 is 1

Greatest Common Factor of 8729 and 8732 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 8732

List of positive integer factors of 8732 that divides 8732 without a remainder.

1,2,4,37,59,74,118,148,236,2183,4366,8732

Greatest Common Factor

We found the factors and prime factorization of 8729 and 8732. The biggest common factor number is the GCF number.
So the greatest common factor 8729 and 8732 is 1.

Also check out the Least Common Multiple of 8729 and 8732

Properties of GCF 8729 and 8732

(i) The GCF of 8729 and 8732 is associative

GCF of 8729 and 8732 = GCF of 8732 and 8729

Related Greatest Common Factor of 8729

Related Greatest Common Factor of 8732

Frequently Asked Questions on GCF of 8729 and 8732

1. What is the GCF of 8729 and 8732?

Answer: GCF of 8729 and 8732 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 8732?

Answer: Factors of 8732 are 1, 2, 4, 37, 59, 74, 118, 148, 236, 2183, 4366, 8732. There are 12 integers that are factors of 8732. The greatest factor of 8732 is 8732.

4. How to Find the GCF of 8729 and 8732?

Answer:

Greatest Common Factor of 8729 and 8732 = 1

Step 1: Find the prime factorization of 8729

8729 = 7 x 29 x 43

Step 2: Find the prime factorization of 8732

8732 = 2 x 2 x 37 x 59

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 8732 is 1