Greatest Common Factor of 9592 and 9600

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 9592, 9600 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9592 and 9600 is 8.

GCF(9592,9600) = 8

GCF of 9592 and 9600

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

GCF of:
and

Greatest Common Factor of 9592 and 9600

GCF of 9592 and 9600 is 8

Prime Factorization of 9592


2 9592
2 4796
2 2398
11 1199
109 109
1

Prime factors of 9592 are 2,11,109. Prime factorization of 9592 in exponential form is:

9592 = 23×111×1091

Prime Factorization of 9600


2 9600
2 4800
2 2400
2 1200
2 600
2 300
2 150
3 75
5 25
5 5
1

Prime factors of 9600 are 2,3,5. Prime factorization of 9600 in exponential form is:

9600 = 27×31×52

∴ So by taking common prime factors GCF of 9592 and 9600 is 8

Greatest Common Factor of 9592 and 9600 by matching factors method

Factors of 9592

List of positive integer factors of 9592 that divides 9592 without a remainder.

1,2,4,8,11,22,44,88,109,218,436,872,1199,2398,4796,9592

Factors of 9600

List of positive integer factors of 9600 that divides 9600 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,25,30,32,40,48,50,60,64,75,80,96,100,120,128,150,160,192,200,240,300,320,384,400,480,600,640,800,960,1200,1600,1920,2400,3200,4800,9600

Greatest Common Factor

We found the factors and prime factorization of 9592 and 9600. The biggest common factor number is the GCF number.
So the greatest common factor 9592 and 9600 is 8.

Also check out the Least Common Multiple of 9592 and 9600

Properties of GCF 9592 and 9600

(i) The GCF of 9592 and 9600 is associative

GCF of 9592 and 9600 = GCF of 9600 and 9592

Related Greatest Common Factor of 9592

Related Greatest Common Factor of 9600

Frequently Asked Questions on GCF of 9592 and 9600

1. What is the GCF of 9592 and 9600?

Answer: GCF of 9592 and 9600 is 8.

2. What are the Factors of 9592?

Answer: Factors of 9592 are 1, 2, 4, 8, 11, 22, 44, 88, 109, 218, 436, 872, 1199, 2398, 4796, 9592. There are 16 integers that are factors of 9592. The greatest factor of 9592 is 9592.

3. What are the Factors of 9600?

Answer: Factors of 9600 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 64, 75, 80, 96, 100, 120, 128, 150, 160, 192, 200, 240, 300, 320, 384, 400, 480, 600, 640, 800, 960, 1200, 1600, 1920, 2400, 3200, 4800, 9600. There are 48 integers that are factors of 9600. The greatest factor of 9600 is 9600.

4. How to Find the GCF of 9592 and 9600?

Answer:

Greatest Common Factor of 9592 and 9600 = 8

Step 1: Find the prime factorization of 9592

9592 = 2 x 2 x 2 x 11 x 109

Step 2: Find the prime factorization of 9600

9600 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5

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 9592 and 9600 is 8