Greatest Common Factor of 9735 and 9739

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, 9739 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9735 and 9739 is 1.

GCF(9735,9739) = 1

GCF of 9735 and 9739

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

GCF of:
and

Greatest Common Factor of 9735 and 9739

GCF of 9735 and 9739 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 9739


9739 9739
1

Prime factors of 9739 are 9739. Prime factorization of 9739 in exponential form is:

9739 = 97391

∴ So by taking common prime factors GCF of 9735 and 9739 is 1

Greatest Common Factor of 9735 and 9739 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 9739

List of positive integer factors of 9739 that divides 9739 without a remainder.

1,9739

Greatest Common Factor

We found the factors and prime factorization of 9735 and 9739. The biggest common factor number is the GCF number.
So the greatest common factor 9735 and 9739 is 1.

Also check out the Least Common Multiple of 9735 and 9739

Properties of GCF 9735 and 9739

(i) The GCF of 9735 and 9739 is associative

GCF of 9735 and 9739 = GCF of 9739 and 9735

Related Greatest Common Factor of 9735

Related Greatest Common Factor of 9739

Frequently Asked Questions on GCF of 9735 and 9739

1. What is the GCF of 9735 and 9739?

Answer: GCF of 9735 and 9739 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 9739?

Answer: Factors of 9739 are 1, 9739. There are 2 integers that are factors of 9739. The greatest factor of 9739 is 9739.

4. How to Find the GCF of 9735 and 9739?

Answer:

Greatest Common Factor of 9735 and 9739 = 1

Step 1: Find the prime factorization of 9735

9735 = 3 x 5 x 11 x 59

Step 2: Find the prime factorization of 9739

9739 = 9739

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 9739 is 1