Greatest Common Factor of 9792 and 9795

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 9792, 9795 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9792 and 9795 is 3.

GCF(9792,9795) = 3

GCF of 9792 and 9795

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

GCF of:
and

Greatest Common Factor of 9792 and 9795

GCF of 9792 and 9795 is 3

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

Prime Factorization of 9795


3 9795
5 3265
653 653
1

Prime factors of 9795 are 3,5,653. Prime factorization of 9795 in exponential form is:

9795 = 31×51×6531

∴ So by taking common prime factors GCF of 9792 and 9795 is 3

Greatest Common Factor of 9792 and 9795 by matching factors method

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

Factors of 9795

List of positive integer factors of 9795 that divides 9795 without a remainder.

1,3,5,15,653,1959,3265,9795

Greatest Common Factor

We found the factors and prime factorization of 9792 and 9795. The biggest common factor number is the GCF number.
So the greatest common factor 9792 and 9795 is 3.

Also check out the Least Common Multiple of 9792 and 9795

Properties of GCF 9792 and 9795

(i) The GCF of 9792 and 9795 is associative

GCF of 9792 and 9795 = GCF of 9795 and 9792

Related Greatest Common Factor of 9792

Related Greatest Common Factor of 9795

Frequently Asked Questions on GCF of 9792 and 9795

1. What is the GCF of 9792 and 9795?

Answer: GCF of 9792 and 9795 is 3.

2. 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.

3. What are the Factors of 9795?

Answer: Factors of 9795 are 1, 3, 5, 15, 653, 1959, 3265, 9795. There are 8 integers that are factors of 9795. The greatest factor of 9795 is 9795.

4. How to Find the GCF of 9792 and 9795?

Answer:

Greatest Common Factor of 9792 and 9795 = 3

Step 1: 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 2: Find the prime factorization of 9795

9795 = 3 x 5 x 653

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 9792 and 9795 is 3