Greatest Common Factor of 9747 and 9753

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 9747, 9753 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9747 and 9753 is 3.

GCF(9747,9753) = 3

GCF of 9747 and 9753

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

GCF of:
and

Greatest Common Factor of 9747 and 9753

GCF of 9747 and 9753 is 3

Prime Factorization of 9747


3 9747
3 3249
3 1083
19 361
19 19
1

Prime factors of 9747 are 3,19. Prime factorization of 9747 in exponential form is:

9747 = 33×192

Prime Factorization of 9753


3 9753
3251 3251
1

Prime factors of 9753 are 3,3251. Prime factorization of 9753 in exponential form is:

9753 = 31×32511

∴ So by taking common prime factors GCF of 9747 and 9753 is 3

Greatest Common Factor of 9747 and 9753 by matching factors method

Factors of 9747

List of positive integer factors of 9747 that divides 9747 without a remainder.

1,3,9,19,27,57,171,361,513,1083,3249,9747

Factors of 9753

List of positive integer factors of 9753 that divides 9753 without a remainder.

1,3,3251,9753

Greatest Common Factor

We found the factors and prime factorization of 9747 and 9753. The biggest common factor number is the GCF number.
So the greatest common factor 9747 and 9753 is 3.

Also check out the Least Common Multiple of 9747 and 9753

Properties of GCF 9747 and 9753

(i) The GCF of 9747 and 9753 is associative

GCF of 9747 and 9753 = GCF of 9753 and 9747

Related Greatest Common Factor of 9747

Related Greatest Common Factor of 9753

Frequently Asked Questions on GCF of 9747 and 9753

1. What is the GCF of 9747 and 9753?

Answer: GCF of 9747 and 9753 is 3.

2. What are the Factors of 9747?

Answer: Factors of 9747 are 1, 3, 9, 19, 27, 57, 171, 361, 513, 1083, 3249, 9747. There are 12 integers that are factors of 9747. The greatest factor of 9747 is 9747.

3. What are the Factors of 9753?

Answer: Factors of 9753 are 1, 3, 3251, 9753. There are 4 integers that are factors of 9753. The greatest factor of 9753 is 9753.

4. How to Find the GCF of 9747 and 9753?

Answer:

Greatest Common Factor of 9747 and 9753 = 3

Step 1: Find the prime factorization of 9747

9747 = 3 x 3 x 3 x 19 x 19

Step 2: Find the prime factorization of 9753

9753 = 3 x 3251

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 9747 and 9753 is 3