Greatest Common Factor of 9786 and 9792

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, 9792 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9786 and 9792 is 6.

GCF(9786,9792) = 6

GCF of 9786 and 9792

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

GCF of:
and

Greatest Common Factor of 9786 and 9792

GCF of 9786 and 9792 is 6

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 9792


2 9792
2 4896
2 2448
2 1224
2 612
2 306
3 153
3 51
17 17
1

Prime factors of 9792 are 2,3,17. Prime factorization of 9792 in exponential form is:

9792 = 26×32×171

∴ So by taking common prime factors GCF of 9786 and 9792 is 6

Greatest Common Factor of 9786 and 9792 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 9792

List of positive integer factors of 9792 that divides 9792 without a remainder.

1,2,3,4,6,8,9,12,16,17,18,24,32,34,36,48,51,64,68,72,96,102,136,144,153,192,204,272,288,306,408,544,576,612,816,1088,1224,1632,2448,3264,4896,9792

Greatest Common Factor

We found the factors and prime factorization of 9786 and 9792. The biggest common factor number is the GCF number.
So the greatest common factor 9786 and 9792 is 6.

Also check out the Least Common Multiple of 9786 and 9792

Properties of GCF 9786 and 9792

(i) The GCF of 9786 and 9792 is associative

GCF of 9786 and 9792 = GCF of 9792 and 9786

Related Greatest Common Factor of 9786

Related Greatest Common Factor of 9792

Frequently Asked Questions on GCF of 9786 and 9792

1. What is the GCF of 9786 and 9792?

Answer: GCF of 9786 and 9792 is 6.

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 9792?

Answer: Factors of 9792 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 17, 18, 24, 32, 34, 36, 48, 51, 64, 68, 72, 96, 102, 136, 144, 153, 192, 204, 272, 288, 306, 408, 544, 576, 612, 816, 1088, 1224, 1632, 2448, 3264, 4896, 9792. There are 42 integers that are factors of 9792. The greatest factor of 9792 is 9792.

4. How to Find the GCF of 9786 and 9792?

Answer:

Greatest Common Factor of 9786 and 9792 = 6

Step 1: Find the prime factorization of 9786

9786 = 2 x 3 x 7 x 233

Step 2: Find the prime factorization of 9792

9792 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 17

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 9786 and 9792 is 6