Greatest Common Factor of 9729 and 9732

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 9729, 9732 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9729 and 9732 is 3.

GCF(9729,9732) = 3

GCF of 9729 and 9732

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

GCF of:
and

Greatest Common Factor of 9729 and 9732

GCF of 9729 and 9732 is 3

Prime Factorization of 9729


3 9729
3 3243
23 1081
47 47
1

Prime factors of 9729 are 3,23,47. Prime factorization of 9729 in exponential form is:

9729 = 32×231×471

Prime Factorization of 9732


2 9732
2 4866
3 2433
811 811
1

Prime factors of 9732 are 2,3,811. Prime factorization of 9732 in exponential form is:

9732 = 22×31×8111

∴ So by taking common prime factors GCF of 9729 and 9732 is 3

Greatest Common Factor of 9729 and 9732 by matching factors method

Factors of 9729

List of positive integer factors of 9729 that divides 9729 without a remainder.

1,3,9,23,47,69,141,207,423,1081,3243,9729

Factors of 9732

List of positive integer factors of 9732 that divides 9732 without a remainder.

1,2,3,4,6,12,811,1622,2433,3244,4866,9732

Greatest Common Factor

We found the factors and prime factorization of 9729 and 9732. The biggest common factor number is the GCF number.
So the greatest common factor 9729 and 9732 is 3.

Also check out the Least Common Multiple of 9729 and 9732

Properties of GCF 9729 and 9732

(i) The GCF of 9729 and 9732 is associative

GCF of 9729 and 9732 = GCF of 9732 and 9729

Related Greatest Common Factor of 9729

Related Greatest Common Factor of 9732

Frequently Asked Questions on GCF of 9729 and 9732

1. What is the GCF of 9729 and 9732?

Answer: GCF of 9729 and 9732 is 3.

2. What are the Factors of 9729?

Answer: Factors of 9729 are 1, 3, 9, 23, 47, 69, 141, 207, 423, 1081, 3243, 9729. There are 12 integers that are factors of 9729. The greatest factor of 9729 is 9729.

3. What are the Factors of 9732?

Answer: Factors of 9732 are 1, 2, 3, 4, 6, 12, 811, 1622, 2433, 3244, 4866, 9732. There are 12 integers that are factors of 9732. The greatest factor of 9732 is 9732.

4. How to Find the GCF of 9729 and 9732?

Answer:

Greatest Common Factor of 9729 and 9732 = 3

Step 1: Find the prime factorization of 9729

9729 = 3 x 3 x 23 x 47

Step 2: Find the prime factorization of 9732

9732 = 2 x 2 x 3 x 811

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 3

Step 4: Therefore, the greatest common factor of 9729 and 9732 is 3