Greatest Common Factor of 9792 and 9796

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, 9796 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9792 and 9796 is 4.

GCF(9792,9796) = 4

GCF of 9792 and 9796

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

GCF of:
and

Greatest Common Factor of 9792 and 9796

GCF of 9792 and 9796 is 4

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 9796


2 9796
2 4898
31 2449
79 79
1

Prime factors of 9796 are 2,31,79. Prime factorization of 9796 in exponential form is:

9796 = 22×311×791

∴ So by taking common prime factors GCF of 9792 and 9796 is 4

Greatest Common Factor of 9792 and 9796 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 9796

List of positive integer factors of 9796 that divides 9796 without a remainder.

1,2,4,31,62,79,124,158,316,2449,4898,9796

Greatest Common Factor

We found the factors and prime factorization of 9792 and 9796. The biggest common factor number is the GCF number.
So the greatest common factor 9792 and 9796 is 4.

Also check out the Least Common Multiple of 9792 and 9796

Properties of GCF 9792 and 9796

(i) The GCF of 9792 and 9796 is associative

GCF of 9792 and 9796 = GCF of 9796 and 9792

Related Greatest Common Factor of 9792

Related Greatest Common Factor of 9796

Frequently Asked Questions on GCF of 9792 and 9796

1. What is the GCF of 9792 and 9796?

Answer: GCF of 9792 and 9796 is 4.

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 9796?

Answer: Factors of 9796 are 1, 2, 4, 31, 62, 79, 124, 158, 316, 2449, 4898, 9796. There are 12 integers that are factors of 9796. The greatest factor of 9796 is 9796.

4. How to Find the GCF of 9792 and 9796?

Answer:

Greatest Common Factor of 9792 and 9796 = 4

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 9796

9796 = 2 x 2 x 31 x 79

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 9792 and 9796 is 4