Greatest Common Factor of 9600 and 9608

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 9600, 9608 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9600 and 9608 is 8.

GCF(9600,9608) = 8

GCF of 9600 and 9608

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

GCF of:
and

Greatest Common Factor of 9600 and 9608

GCF of 9600 and 9608 is 8

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

Prime Factorization of 9608


2 9608
2 4804
2 2402
1201 1201
1

Prime factors of 9608 are 2,1201. Prime factorization of 9608 in exponential form is:

9608 = 23×12011

∴ So by taking common prime factors GCF of 9600 and 9608 is 8

Greatest Common Factor of 9600 and 9608 by matching factors method

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

Factors of 9608

List of positive integer factors of 9608 that divides 9608 without a remainder.

1,2,4,8,1201,2402,4804,9608

Greatest Common Factor

We found the factors and prime factorization of 9600 and 9608. The biggest common factor number is the GCF number.
So the greatest common factor 9600 and 9608 is 8.

Also check out the Least Common Multiple of 9600 and 9608

Properties of GCF 9600 and 9608

(i) The GCF of 9600 and 9608 is associative

GCF of 9600 and 9608 = GCF of 9608 and 9600

Related Greatest Common Factor of 9600

Related Greatest Common Factor of 9608

Frequently Asked Questions on GCF of 9600 and 9608

1. What is the GCF of 9600 and 9608?

Answer: GCF of 9600 and 9608 is 8.

2. 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.

3. What are the Factors of 9608?

Answer: Factors of 9608 are 1, 2, 4, 8, 1201, 2402, 4804, 9608. There are 8 integers that are factors of 9608. The greatest factor of 9608 is 9608.

4. How to Find the GCF of 9600 and 9608?

Answer:

Greatest Common Factor of 9600 and 9608 = 8

Step 1: 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 2: Find the prime factorization of 9608

9608 = 2 x 2 x 2 x 1201

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 9600 and 9608 is 8