Greatest Common Factor of 9735 and 9743

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 9735, 9743 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9735 and 9743 is 1.

GCF(9735,9743) = 1

GCF of 9735 and 9743

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

GCF of:
and

Greatest Common Factor of 9735 and 9743

GCF of 9735 and 9743 is 1

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

Prime Factorization of 9743


9743 9743
1

Prime factors of 9743 are 9743. Prime factorization of 9743 in exponential form is:

9743 = 97431

∴ So by taking common prime factors GCF of 9735 and 9743 is 1

Greatest Common Factor of 9735 and 9743 by matching factors method

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

Factors of 9743

List of positive integer factors of 9743 that divides 9743 without a remainder.

1,9743

Greatest Common Factor

We found the factors and prime factorization of 9735 and 9743. The biggest common factor number is the GCF number.
So the greatest common factor 9735 and 9743 is 1.

Also check out the Least Common Multiple of 9735 and 9743

Properties of GCF 9735 and 9743

(i) The GCF of 9735 and 9743 is associative

GCF of 9735 and 9743 = GCF of 9743 and 9735

Related Greatest Common Factor of 9735

Related Greatest Common Factor of 9743

Frequently Asked Questions on GCF of 9735 and 9743

1. What is the GCF of 9735 and 9743?

Answer: GCF of 9735 and 9743 is 1.

2. 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.

3. What are the Factors of 9743?

Answer: Factors of 9743 are 1, 9743. There are 2 integers that are factors of 9743. The greatest factor of 9743 is 9743.

4. How to Find the GCF of 9735 and 9743?

Answer:

Greatest Common Factor of 9735 and 9743 = 1

Step 1: Find the prime factorization of 9735

9735 = 3 x 5 x 11 x 59

Step 2: Find the prime factorization of 9743

9743 = 9743

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 9735 and 9743 is 1