Greatest Common Factor of 9600 and 9607

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, 9607 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9600 and 9607 is 1.

GCF(9600,9607) = 1

GCF of 9600 and 9607

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

GCF of:
and

Greatest Common Factor of 9600 and 9607

GCF of 9600 and 9607 is 1

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 9607


13 9607
739 739
1

Prime factors of 9607 are 13,739. Prime factorization of 9607 in exponential form is:

9607 = 131×7391

∴ So by taking common prime factors GCF of 9600 and 9607 is 1

Greatest Common Factor of 9600 and 9607 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 9607

List of positive integer factors of 9607 that divides 9607 without a remainder.

1,13,739,9607

Greatest Common Factor

We found the factors and prime factorization of 9600 and 9607. The biggest common factor number is the GCF number.
So the greatest common factor 9600 and 9607 is 1.

Also check out the Least Common Multiple of 9600 and 9607

Properties of GCF 9600 and 9607

(i) The GCF of 9600 and 9607 is associative

GCF of 9600 and 9607 = GCF of 9607 and 9600

Related Greatest Common Factor of 9600

Related Greatest Common Factor of 9607

Frequently Asked Questions on GCF of 9600 and 9607

1. What is the GCF of 9600 and 9607?

Answer: GCF of 9600 and 9607 is 1.

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 9607?

Answer: Factors of 9607 are 1, 13, 739, 9607. There are 4 integers that are factors of 9607. The greatest factor of 9607 is 9607.

4. How to Find the GCF of 9600 and 9607?

Answer:

Greatest Common Factor of 9600 and 9607 = 1

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 9607

9607 = 13 x 739

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 9600 and 9607 is 1