Greatest Common Factor of 9786 and 9793

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, 9793 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9786 and 9793 is 7.

GCF(9786,9793) = 7

GCF of 9786 and 9793

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

GCF of:
and

Greatest Common Factor of 9786 and 9793

GCF of 9786 and 9793 is 7

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 9793


7 9793
1399 1399
1

Prime factors of 9793 are 7,1399. Prime factorization of 9793 in exponential form is:

9793 = 71×13991

∴ So by taking common prime factors GCF of 9786 and 9793 is 7

Greatest Common Factor of 9786 and 9793 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 9793

List of positive integer factors of 9793 that divides 9793 without a remainder.

1,7,1399,9793

Greatest Common Factor

We found the factors and prime factorization of 9786 and 9793. The biggest common factor number is the GCF number.
So the greatest common factor 9786 and 9793 is 7.

Also check out the Least Common Multiple of 9786 and 9793

Properties of GCF 9786 and 9793

(i) The GCF of 9786 and 9793 is associative

GCF of 9786 and 9793 = GCF of 9793 and 9786

Related Greatest Common Factor of 9786

Related Greatest Common Factor of 9793

Frequently Asked Questions on GCF of 9786 and 9793

1. What is the GCF of 9786 and 9793?

Answer: GCF of 9786 and 9793 is 7.

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 9793?

Answer: Factors of 9793 are 1, 7, 1399, 9793. There are 4 integers that are factors of 9793. The greatest factor of 9793 is 9793.

4. How to Find the GCF of 9786 and 9793?

Answer:

Greatest Common Factor of 9786 and 9793 = 7

Step 1: Find the prime factorization of 9786

9786 = 2 x 3 x 7 x 233

Step 2: Find the prime factorization of 9793

9793 = 7 x 1399

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 7

Step 4: Therefore, the greatest common factor of 9786 and 9793 is 7