Greatest Common Factor of 9741 and 9747

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 9741, 9747 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9741 and 9747 is 3.

GCF(9741,9747) = 3

GCF of 9741 and 9747

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

GCF of:
and

Greatest Common Factor of 9741 and 9747

GCF of 9741 and 9747 is 3

Prime Factorization of 9741


3 9741
17 3247
191 191
1

Prime factors of 9741 are 3,17,191. Prime factorization of 9741 in exponential form is:

9741 = 31×171×1911

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

∴ So by taking common prime factors GCF of 9741 and 9747 is 3

Greatest Common Factor of 9741 and 9747 by matching factors method

Factors of 9741

List of positive integer factors of 9741 that divides 9741 without a remainder.

1,3,17,51,191,573,3247,9741

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

Greatest Common Factor

We found the factors and prime factorization of 9741 and 9747. The biggest common factor number is the GCF number.
So the greatest common factor 9741 and 9747 is 3.

Also check out the Least Common Multiple of 9741 and 9747

Properties of GCF 9741 and 9747

(i) The GCF of 9741 and 9747 is associative

GCF of 9741 and 9747 = GCF of 9747 and 9741

Related Greatest Common Factor of 9741

Related Greatest Common Factor of 9747

Frequently Asked Questions on GCF of 9741 and 9747

1. What is the GCF of 9741 and 9747?

Answer: GCF of 9741 and 9747 is 3.

2. What are the Factors of 9741?

Answer: Factors of 9741 are 1, 3, 17, 51, 191, 573, 3247, 9741. There are 8 integers that are factors of 9741. The greatest factor of 9741 is 9741.

3. 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.

4. How to Find the GCF of 9741 and 9747?

Answer:

Greatest Common Factor of 9741 and 9747 = 3

Step 1: Find the prime factorization of 9741

9741 = 3 x 17 x 191

Step 2: Find the prime factorization of 9747

9747 = 3 x 3 x 3 x 19 x 19

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 9741 and 9747 is 3