Greatest Common Factor of 36000 and 36006

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, 36006 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 36000 and 36006 is 6.

GCF(36000,36006) = 6

GCF of 36000 and 36006

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

GCF of:
and

Greatest Common Factor of 36000 and 36006

GCF of 36000 and 36006 is 6

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 36006


2 36006
3 18003
17 6001
353 353
1

Prime factors of 36006 are 2,3,17,353. Prime factorization of 36006 in exponential form is:

36006 = 21×31×171×3531

∴ So by taking common prime factors GCF of 36000 and 36006 is 6

Greatest Common Factor of 36000 and 36006 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 36006

List of positive integer factors of 36006 that divides 36006 without a remainder.

1,2,3,6,17,34,51,102,353,706,1059,2118,6001,12002,18003,36006

Greatest Common Factor

We found the factors and prime factorization of 36000 and 36006. The biggest common factor number is the GCF number.
So the greatest common factor 36000 and 36006 is 6.

Also check out the Least Common Multiple of 36000 and 36006

Properties of GCF 36000 and 36006

(i) The GCF of 36000 and 36006 is associative

GCF of 36000 and 36006 = GCF of 36006 and 36000

Related Greatest Common Factor of 36000

Related Greatest Common Factor of 36006

Frequently Asked Questions on GCF of 36000 and 36006

1. What is the GCF of 36000 and 36006?

Answer: GCF of 36000 and 36006 is 6.

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 36006?

Answer: Factors of 36006 are 1, 2, 3, 6, 17, 34, 51, 102, 353, 706, 1059, 2118, 6001, 12002, 18003, 36006. There are 16 integers that are factors of 36006. The greatest factor of 36006 is 36006.

4. How to Find the GCF of 36000 and 36006?

Answer:

Greatest Common Factor of 36000 and 36006 = 6

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 36006

36006 = 2 x 3 x 17 x 353

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 36000 and 36006 is 6