Greatest Common Factor of 36000 and 36004

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 36000, 36004 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 36000 and 36004 is 4.

GCF(36000,36004) = 4

GCF of 36000 and 36004

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

GCF of:
and

Greatest Common Factor of 36000 and 36004

GCF of 36000 and 36004 is 4

Prime Factorization of 36000


2 36000
2 18000
2 9000
2 4500
2 2250
3 1125
3 375
5 125
5 25
5 5
1

Prime factors of 36000 are 2,3,5. Prime factorization of 36000 in exponential form is:

36000 = 25×32×53

Prime Factorization of 36004


2 36004
2 18002
9001 9001
1

Prime factors of 36004 are 2,9001. Prime factorization of 36004 in exponential form is:

36004 = 22×90011

∴ So by taking common prime factors GCF of 36000 and 36004 is 4

Greatest Common Factor of 36000 and 36004 by matching factors method

Factors of 36000

List of positive integer factors of 36000 that divides 36000 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,25,30,32,36,40,45,48,50,60,72,75,80,90,96,100,120,125,144,150,160,180,200,225,240,250,288,300,360,375,400,450,480,500,600,720,750,800,900,1000,1125,1200,1440,1500,1800,2000,2250,2400,3000,3600,4000,4500,6000,7200,9000,12000,18000,36000

Factors of 36004

List of positive integer factors of 36004 that divides 36004 without a remainder.

1,2,4,9001,18002,36004

Greatest Common Factor

We found the factors and prime factorization of 36000 and 36004. The biggest common factor number is the GCF number.
So the greatest common factor 36000 and 36004 is 4.

Also check out the Least Common Multiple of 36000 and 36004

Properties of GCF 36000 and 36004

(i) The GCF of 36000 and 36004 is associative

GCF of 36000 and 36004 = GCF of 36004 and 36000

Related Greatest Common Factor of 36000

Related Greatest Common Factor of 36004

Frequently Asked Questions on GCF of 36000 and 36004

1. What is the GCF of 36000 and 36004?

Answer: GCF of 36000 and 36004 is 4.

2. What are the Factors of 36000?

Answer: Factors of 36000 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 25, 30, 32, 36, 40, 45, 48, 50, 60, 72, 75, 80, 90, 96, 100, 120, 125, 144, 150, 160, 180, 200, 225, 240, 250, 288, 300, 360, 375, 400, 450, 480, 500, 600, 720, 750, 800, 900, 1000, 1125, 1200, 1440, 1500, 1800, 2000, 2250, 2400, 3000, 3600, 4000, 4500, 6000, 7200, 9000, 12000, 18000, 36000. There are 72 integers that are factors of 36000. The greatest factor of 36000 is 36000.

3. What are the Factors of 36004?

Answer: Factors of 36004 are 1, 2, 4, 9001, 18002, 36004. There are 6 integers that are factors of 36004. The greatest factor of 36004 is 36004.

4. How to Find the GCF of 36000 and 36004?

Answer:

Greatest Common Factor of 36000 and 36004 = 4

Step 1: Find the prime factorization of 36000

36000 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5 x 5

Step 2: Find the prime factorization of 36004

36004 = 2 x 2 x 9001

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 36000 and 36004 is 4