Greatest Common Factor of 3600 and 3603

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 3600, 3603 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3600 and 3603 is 3.

GCF(3600,3603) = 3

GCF of 3600 and 3603

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

GCF of:
and

Greatest Common Factor of 3600 and 3603

GCF of 3600 and 3603 is 3

Prime Factorization of 3600


2 3600
2 1800
2 900
2 450
3 225
3 75
5 25
5 5
1

Prime factors of 3600 are 2,3,5. Prime factorization of 3600 in exponential form is:

3600 = 24×32×52

Prime Factorization of 3603


3 3603
1201 1201
1

Prime factors of 3603 are 3,1201. Prime factorization of 3603 in exponential form is:

3603 = 31×12011

∴ So by taking common prime factors GCF of 3600 and 3603 is 3

Greatest Common Factor of 3600 and 3603 by matching factors method

Factors of 3600

List of positive integer factors of 3600 that divides 3600 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,25,30,36,40,45,48,50,60,72,75,80,90,100,120,144,150,180,200,225,240,300,360,400,450,600,720,900,1200,1800,3600

Factors of 3603

List of positive integer factors of 3603 that divides 3603 without a remainder.

1,3,1201,3603

Greatest Common Factor

We found the factors and prime factorization of 3600 and 3603. The biggest common factor number is the GCF number.
So the greatest common factor 3600 and 3603 is 3.

Also check out the Least Common Multiple of 3600 and 3603

Properties of GCF 3600 and 3603

(i) The GCF of 3600 and 3603 is associative

GCF of 3600 and 3603 = GCF of 3603 and 3600

Related Greatest Common Factor of 3600

Related Greatest Common Factor of 3603

Frequently Asked Questions on GCF of 3600 and 3603

1. What is the GCF of 3600 and 3603?

Answer: GCF of 3600 and 3603 is 3.

2. What are the Factors of 3600?

Answer: Factors of 3600 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 25, 30, 36, 40, 45, 48, 50, 60, 72, 75, 80, 90, 100, 120, 144, 150, 180, 200, 225, 240, 300, 360, 400, 450, 600, 720, 900, 1200, 1800, 3600. There are 45 integers that are factors of 3600. The greatest factor of 3600 is 3600.

3. What are the Factors of 3603?

Answer: Factors of 3603 are 1, 3, 1201, 3603. There are 4 integers that are factors of 3603. The greatest factor of 3603 is 3603.

4. How to Find the GCF of 3600 and 3603?

Answer:

Greatest Common Factor of 3600 and 3603 = 3

Step 1: Find the prime factorization of 3600

3600 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5

Step 2: Find the prime factorization of 3603

3603 = 3 x 1201

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 3600 and 3603 is 3