Greatest Common Factor of 9786 and 9789

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 9786, 9789 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9786 and 9789 is 3.

GCF(9786,9789) = 3

GCF of 9786 and 9789

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

GCF of:
and

Greatest Common Factor of 9786 and 9789

GCF of 9786 and 9789 is 3

Prime Factorization of 9786


2 9786
3 4893
7 1631
233 233
1

Prime factors of 9786 are 2,3,7,233. Prime factorization of 9786 in exponential form is:

9786 = 21×31×71×2331

Prime Factorization of 9789


3 9789
13 3263
251 251
1

Prime factors of 9789 are 3,13,251. Prime factorization of 9789 in exponential form is:

9789 = 31×131×2511

∴ So by taking common prime factors GCF of 9786 and 9789 is 3

Greatest Common Factor of 9786 and 9789 by matching factors method

Factors of 9786

List of positive integer factors of 9786 that divides 9786 without a remainder.

1,2,3,6,7,14,21,42,233,466,699,1398,1631,3262,4893,9786

Factors of 9789

List of positive integer factors of 9789 that divides 9789 without a remainder.

1,3,13,39,251,753,3263,9789

Greatest Common Factor

We found the factors and prime factorization of 9786 and 9789. The biggest common factor number is the GCF number.
So the greatest common factor 9786 and 9789 is 3.

Also check out the Least Common Multiple of 9786 and 9789

Properties of GCF 9786 and 9789

(i) The GCF of 9786 and 9789 is associative

GCF of 9786 and 9789 = GCF of 9789 and 9786

Related Greatest Common Factor of 9786

Related Greatest Common Factor of 9789

Frequently Asked Questions on GCF of 9786 and 9789

1. What is the GCF of 9786 and 9789?

Answer: GCF of 9786 and 9789 is 3.

2. What are the Factors of 9786?

Answer: Factors of 9786 are 1, 2, 3, 6, 7, 14, 21, 42, 233, 466, 699, 1398, 1631, 3262, 4893, 9786. There are 16 integers that are factors of 9786. The greatest factor of 9786 is 9786.

3. What are the Factors of 9789?

Answer: Factors of 9789 are 1, 3, 13, 39, 251, 753, 3263, 9789. There are 8 integers that are factors of 9789. The greatest factor of 9789 is 9789.

4. How to Find the GCF of 9786 and 9789?

Answer:

Greatest Common Factor of 9786 and 9789 = 3

Step 1: Find the prime factorization of 9786

9786 = 2 x 3 x 7 x 233

Step 2: Find the prime factorization of 9789

9789 = 3 x 13 x 251

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 9786 and 9789 is 3