Greatest Common Factor of 9792 and 9800

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, 9800 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9792 and 9800 is 8.

GCF(9792,9800) = 8

GCF of 9792 and 9800

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

GCF of:
and

Greatest Common Factor of 9792 and 9800

GCF of 9792 and 9800 is 8

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 9800


2 9800
2 4900
2 2450
5 1225
5 245
7 49
7 7
1

Prime factors of 9800 are 2,5,7. Prime factorization of 9800 in exponential form is:

9800 = 23×52×72

∴ So by taking common prime factors GCF of 9792 and 9800 is 8

Greatest Common Factor of 9792 and 9800 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 9800

List of positive integer factors of 9800 that divides 9800 without a remainder.

1,2,4,5,7,8,10,14,20,25,28,35,40,49,50,56,70,98,100,140,175,196,200,245,280,350,392,490,700,980,1225,1400,1960,2450,4900,9800

Greatest Common Factor

We found the factors and prime factorization of 9792 and 9800. The biggest common factor number is the GCF number.
So the greatest common factor 9792 and 9800 is 8.

Also check out the Least Common Multiple of 9792 and 9800

Properties of GCF 9792 and 9800

(i) The GCF of 9792 and 9800 is associative

GCF of 9792 and 9800 = GCF of 9800 and 9792

Related Greatest Common Factor of 9792

Related Greatest Common Factor of 9800

Frequently Asked Questions on GCF of 9792 and 9800

1. What is the GCF of 9792 and 9800?

Answer: GCF of 9792 and 9800 is 8.

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 9800?

Answer: Factors of 9800 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 35, 40, 49, 50, 56, 70, 98, 100, 140, 175, 196, 200, 245, 280, 350, 392, 490, 700, 980, 1225, 1400, 1960, 2450, 4900, 9800. There are 36 integers that are factors of 9800. The greatest factor of 9800 is 9800.

4. How to Find the GCF of 9792 and 9800?

Answer:

Greatest Common Factor of 9792 and 9800 = 8

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 9800

9800 = 2 x 2 x 2 x 5 x 5 x 7 x 7

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 9792 and 9800 is 8