Greatest Common Factor of 3596 and 3600

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 3596, 3600 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3596 and 3600 is 4.

GCF(3596,3600) = 4

GCF of 3596 and 3600

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

GCF of:
and

Greatest Common Factor of 3596 and 3600

GCF of 3596 and 3600 is 4

Prime Factorization of 3596


2 3596
2 1798
29 899
31 31
1

Prime factors of 3596 are 2,29,31. Prime factorization of 3596 in exponential form is:

3596 = 22×291×311

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

∴ So by taking common prime factors GCF of 3596 and 3600 is 4

Greatest Common Factor of 3596 and 3600 by matching factors method

Factors of 3596

List of positive integer factors of 3596 that divides 3596 without a remainder.

1,2,4,29,31,58,62,116,124,899,1798,3596

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

Greatest Common Factor

We found the factors and prime factorization of 3596 and 3600. The biggest common factor number is the GCF number.
So the greatest common factor 3596 and 3600 is 4.

Also check out the Least Common Multiple of 3596 and 3600

Properties of GCF 3596 and 3600

(i) The GCF of 3596 and 3600 is associative

GCF of 3596 and 3600 = GCF of 3600 and 3596

Related Greatest Common Factor of 3596

Related Greatest Common Factor of 3600

Frequently Asked Questions on GCF of 3596 and 3600

1. What is the GCF of 3596 and 3600?

Answer: GCF of 3596 and 3600 is 4.

2. What are the Factors of 3596?

Answer: Factors of 3596 are 1, 2, 4, 29, 31, 58, 62, 116, 124, 899, 1798, 3596. There are 12 integers that are factors of 3596. The greatest factor of 3596 is 3596.

3. 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.

4. How to Find the GCF of 3596 and 3600?

Answer:

Greatest Common Factor of 3596 and 3600 = 4

Step 1: Find the prime factorization of 3596

3596 = 2 x 2 x 29 x 31

Step 2: Find the prime factorization of 3600

3600 = 2 x 2 x 2 x 2 x 3 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 = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 3596 and 3600 is 4