Greatest Common Factor of 9597 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 9597, 9600 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9597 and 9600 is 3.

GCF(9597,9600) = 3

GCF of 9597 and 9600

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

GCF of:
and

Greatest Common Factor of 9597 and 9600

GCF of 9597 and 9600 is 3

Prime Factorization of 9597


3 9597
7 3199
457 457
1

Prime factors of 9597 are 3,7,457. Prime factorization of 9597 in exponential form is:

9597 = 31×71×4571

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 9597 and 9600 is 3

Greatest Common Factor of 9597 and 9600 by matching factors method

Factors of 9597

List of positive integer factors of 9597 that divides 9597 without a remainder.

1,3,7,21,457,1371,3199,9597

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 9597 and 9600. The biggest common factor number is the GCF number.
So the greatest common factor 9597 and 9600 is 3.

Also check out the Least Common Multiple of 9597 and 9600

Properties of GCF 9597 and 9600

(i) The GCF of 9597 and 9600 is associative

GCF of 9597 and 9600 = GCF of 9600 and 9597

Related Greatest Common Factor of 9597

Related Greatest Common Factor of 9600

Frequently Asked Questions on GCF of 9597 and 9600

1. What is the GCF of 9597 and 9600?

Answer: GCF of 9597 and 9600 is 3.

2. What are the Factors of 9597?

Answer: Factors of 9597 are 1, 3, 7, 21, 457, 1371, 3199, 9597. There are 8 integers that are factors of 9597. The greatest factor of 9597 is 9597.

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 9597 and 9600?

Answer:

Greatest Common Factor of 9597 and 9600 = 3

Step 1: Find the prime factorization of 9597

9597 = 3 x 7 x 457

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 = 3

Step 4: Therefore, the greatest common factor of 9597 and 9600 is 3