Greatest Common Factor of 36000 and 36005

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, 36005 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 36000 and 36005 is 5.

GCF(36000,36005) = 5

GCF of 36000 and 36005

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

GCF of:
and

Greatest Common Factor of 36000 and 36005

GCF of 36000 and 36005 is 5

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 36005


5 36005
19 7201
379 379
1

Prime factors of 36005 are 5,19,379. Prime factorization of 36005 in exponential form is:

36005 = 51×191×3791

∴ So by taking common prime factors GCF of 36000 and 36005 is 5

Greatest Common Factor of 36000 and 36005 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 36005

List of positive integer factors of 36005 that divides 36005 without a remainder.

1,5,19,95,379,1895,7201,36005

Greatest Common Factor

We found the factors and prime factorization of 36000 and 36005. The biggest common factor number is the GCF number.
So the greatest common factor 36000 and 36005 is 5.

Also check out the Least Common Multiple of 36000 and 36005

Properties of GCF 36000 and 36005

(i) The GCF of 36000 and 36005 is associative

GCF of 36000 and 36005 = GCF of 36005 and 36000

Related Greatest Common Factor of 36000

Related Greatest Common Factor of 36005

Frequently Asked Questions on GCF of 36000 and 36005

1. What is the GCF of 36000 and 36005?

Answer: GCF of 36000 and 36005 is 5.

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 36005?

Answer: Factors of 36005 are 1, 5, 19, 95, 379, 1895, 7201, 36005. There are 8 integers that are factors of 36005. The greatest factor of 36005 is 36005.

4. How to Find the GCF of 36000 and 36005?

Answer:

Greatest Common Factor of 36000 and 36005 = 5

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 36005

36005 = 5 x 19 x 379

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 36000 and 36005 is 5