Greatest Common Factor of 3600 and 3604

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, 3604 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3600 and 3604 is 4.

GCF(3600,3604) = 4

GCF of 3600 and 3604

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

GCF of:
and

Greatest Common Factor of 3600 and 3604

GCF of 3600 and 3604 is 4

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 3604


2 3604
2 1802
17 901
53 53
1

Prime factors of 3604 are 2,17,53. Prime factorization of 3604 in exponential form is:

3604 = 22×171×531

∴ So by taking common prime factors GCF of 3600 and 3604 is 4

Greatest Common Factor of 3600 and 3604 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 3604

List of positive integer factors of 3604 that divides 3604 without a remainder.

1,2,4,17,34,53,68,106,212,901,1802,3604

Greatest Common Factor

We found the factors and prime factorization of 3600 and 3604. The biggest common factor number is the GCF number.
So the greatest common factor 3600 and 3604 is 4.

Also check out the Least Common Multiple of 3600 and 3604

Properties of GCF 3600 and 3604

(i) The GCF of 3600 and 3604 is associative

GCF of 3600 and 3604 = GCF of 3604 and 3600

Related Greatest Common Factor of 3600

Related Greatest Common Factor of 3604

Frequently Asked Questions on GCF of 3600 and 3604

1. What is the GCF of 3600 and 3604?

Answer: GCF of 3600 and 3604 is 4.

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 3604?

Answer: Factors of 3604 are 1, 2, 4, 17, 34, 53, 68, 106, 212, 901, 1802, 3604. There are 12 integers that are factors of 3604. The greatest factor of 3604 is 3604.

4. How to Find the GCF of 3600 and 3604?

Answer:

Greatest Common Factor of 3600 and 3604 = 4

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 3604

3604 = 2 x 2 x 17 x 53

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 3600 and 3604 is 4