Greatest Common Factor of 9756 and 9759

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 9756, 9759 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9756 and 9759 is 3.

GCF(9756,9759) = 3

GCF of 9756 and 9759

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

GCF of:
and

Greatest Common Factor of 9756 and 9759

GCF of 9756 and 9759 is 3

Prime Factorization of 9756


2 9756
2 4878
3 2439
3 813
271 271
1

Prime factors of 9756 are 2,3,271. Prime factorization of 9756 in exponential form is:

9756 = 22×32×2711

Prime Factorization of 9759


3 9759
3253 3253
1

Prime factors of 9759 are 3,3253. Prime factorization of 9759 in exponential form is:

9759 = 31×32531

∴ So by taking common prime factors GCF of 9756 and 9759 is 3

Greatest Common Factor of 9756 and 9759 by matching factors method

Factors of 9756

List of positive integer factors of 9756 that divides 9756 without a remainder.

1,2,3,4,6,9,12,18,36,271,542,813,1084,1626,2439,3252,4878,9756

Factors of 9759

List of positive integer factors of 9759 that divides 9759 without a remainder.

1,3,3253,9759

Greatest Common Factor

We found the factors and prime factorization of 9756 and 9759. The biggest common factor number is the GCF number.
So the greatest common factor 9756 and 9759 is 3.

Also check out the Least Common Multiple of 9756 and 9759

Properties of GCF 9756 and 9759

(i) The GCF of 9756 and 9759 is associative

GCF of 9756 and 9759 = GCF of 9759 and 9756

Related Greatest Common Factor of 9756

Related Greatest Common Factor of 9759

Frequently Asked Questions on GCF of 9756 and 9759

1. What is the GCF of 9756 and 9759?

Answer: GCF of 9756 and 9759 is 3.

2. What are the Factors of 9756?

Answer: Factors of 9756 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 271, 542, 813, 1084, 1626, 2439, 3252, 4878, 9756. There are 18 integers that are factors of 9756. The greatest factor of 9756 is 9756.

3. What are the Factors of 9759?

Answer: Factors of 9759 are 1, 3, 3253, 9759. There are 4 integers that are factors of 9759. The greatest factor of 9759 is 9759.

4. How to Find the GCF of 9756 and 9759?

Answer:

Greatest Common Factor of 9756 and 9759 = 3

Step 1: Find the prime factorization of 9756

9756 = 2 x 2 x 3 x 3 x 271

Step 2: Find the prime factorization of 9759

9759 = 3 x 3253

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 9756 and 9759 is 3