Greatest Common Factor of 9784 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 9784, 9792 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9784 and 9792 is 8.

GCF(9784,9792) = 8

GCF of 9784 and 9792

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

GCF of:
and

Greatest Common Factor of 9784 and 9792

GCF of 9784 and 9792 is 8

Prime Factorization of 9784


2 9784
2 4892
2 2446
1223 1223
1

Prime factors of 9784 are 2,1223. Prime factorization of 9784 in exponential form is:

9784 = 23×12231

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 9784 and 9792 is 8

Greatest Common Factor of 9784 and 9792 by matching factors method

Factors of 9784

List of positive integer factors of 9784 that divides 9784 without a remainder.

1,2,4,8,1223,2446,4892,9784

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 9784 and 9792. The biggest common factor number is the GCF number.
So the greatest common factor 9784 and 9792 is 8.

Also check out the Least Common Multiple of 9784 and 9792

Properties of GCF 9784 and 9792

(i) The GCF of 9784 and 9792 is associative

GCF of 9784 and 9792 = GCF of 9792 and 9784

Related Greatest Common Factor of 9784

Related Greatest Common Factor of 9792

Frequently Asked Questions on GCF of 9784 and 9792

1. What is the GCF of 9784 and 9792?

Answer: GCF of 9784 and 9792 is 8.

2. What are the Factors of 9784?

Answer: Factors of 9784 are 1, 2, 4, 8, 1223, 2446, 4892, 9784. There are 8 integers that are factors of 9784. The greatest factor of 9784 is 9784.

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 9784 and 9792?

Answer:

Greatest Common Factor of 9784 and 9792 = 8

Step 1: Find the prime factorization of 9784

9784 = 2 x 2 x 2 x 1223

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 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 9784 and 9792 is 8