Greatest Common Factor of 9729 and 9735

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, 9735 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9729 and 9735 is 3.

GCF(9729,9735) = 3

GCF of 9729 and 9735

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

GCF of:
and

Greatest Common Factor of 9729 and 9735

GCF of 9729 and 9735 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 9735


3 9735
5 3245
11 649
59 59
1

Prime factors of 9735 are 3,5,11,59. Prime factorization of 9735 in exponential form is:

9735 = 31×51×111×591

∴ So by taking common prime factors GCF of 9729 and 9735 is 3

Greatest Common Factor of 9729 and 9735 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 9735

List of positive integer factors of 9735 that divides 9735 without a remainder.

1,3,5,11,15,33,55,59,165,177,295,649,885,1947,3245,9735

Greatest Common Factor

We found the factors and prime factorization of 9729 and 9735. The biggest common factor number is the GCF number.
So the greatest common factor 9729 and 9735 is 3.

Also check out the Least Common Multiple of 9729 and 9735

Properties of GCF 9729 and 9735

(i) The GCF of 9729 and 9735 is associative

GCF of 9729 and 9735 = GCF of 9735 and 9729

Related Greatest Common Factor of 9729

Related Greatest Common Factor of 9735

Frequently Asked Questions on GCF of 9729 and 9735

1. What is the GCF of 9729 and 9735?

Answer: GCF of 9729 and 9735 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 9735?

Answer: Factors of 9735 are 1, 3, 5, 11, 15, 33, 55, 59, 165, 177, 295, 649, 885, 1947, 3245, 9735. There are 16 integers that are factors of 9735. The greatest factor of 9735 is 9735.

4. How to Find the GCF of 9729 and 9735?

Answer:

Greatest Common Factor of 9729 and 9735 = 3

Step 1: Find the prime factorization of 9729

9729 = 3 x 3 x 23 x 47

Step 2: Find the prime factorization of 9735

9735 = 3 x 5 x 11 x 59

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 9735 is 3