Greatest Common Factor of 3600 and 3605

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, 3605 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3600 and 3605 is 5.

GCF(3600,3605) = 5

GCF of 3600 and 3605

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

GCF of:
and

Greatest Common Factor of 3600 and 3605

GCF of 3600 and 3605 is 5

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 3605


5 3605
7 721
103 103
1

Prime factors of 3605 are 5,7,103. Prime factorization of 3605 in exponential form is:

3605 = 51×71×1031

∴ So by taking common prime factors GCF of 3600 and 3605 is 5

Greatest Common Factor of 3600 and 3605 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 3605

List of positive integer factors of 3605 that divides 3605 without a remainder.

1,5,7,35,103,515,721,3605

Greatest Common Factor

We found the factors and prime factorization of 3600 and 3605. The biggest common factor number is the GCF number.
So the greatest common factor 3600 and 3605 is 5.

Also check out the Least Common Multiple of 3600 and 3605

Properties of GCF 3600 and 3605

(i) The GCF of 3600 and 3605 is associative

GCF of 3600 and 3605 = GCF of 3605 and 3600

Related Greatest Common Factor of 3600

Related Greatest Common Factor of 3605

Frequently Asked Questions on GCF of 3600 and 3605

1. What is the GCF of 3600 and 3605?

Answer: GCF of 3600 and 3605 is 5.

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 3605?

Answer: Factors of 3605 are 1, 5, 7, 35, 103, 515, 721, 3605. There are 8 integers that are factors of 3605. The greatest factor of 3605 is 3605.

4. How to Find the GCF of 3600 and 3605?

Answer:

Greatest Common Factor of 3600 and 3605 = 5

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 3605

3605 = 5 x 7 x 103

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

GCF = 5

Step 4: Therefore, the greatest common factor of 3600 and 3605 is 5