Greatest Common Factor of 6000 and 6005

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 6000, 6005 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6000 and 6005 is 5.

GCF(6000,6005) = 5

GCF of 6000 and 6005

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

GCF of:
and

Greatest Common Factor of 6000 and 6005

GCF of 6000 and 6005 is 5

Prime Factorization of 6000


2 6000
2 3000
2 1500
2 750
3 375
5 125
5 25
5 5
1

Prime factors of 6000 are 2,3,5. Prime factorization of 6000 in exponential form is:

6000 = 24×31×53

Prime Factorization of 6005


5 6005
1201 1201
1

Prime factors of 6005 are 5,1201. Prime factorization of 6005 in exponential form is:

6005 = 51×12011

∴ So by taking common prime factors GCF of 6000 and 6005 is 5

Greatest Common Factor of 6000 and 6005 by matching factors method

Factors of 6000

List of positive integer factors of 6000 that divides 6000 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,25,30,40,48,50,60,75,80,100,120,125,150,200,240,250,300,375,400,500,600,750,1000,1200,1500,2000,3000,6000

Factors of 6005

List of positive integer factors of 6005 that divides 6005 without a remainder.

1,5,1201,6005

Greatest Common Factor

We found the factors and prime factorization of 6000 and 6005. The biggest common factor number is the GCF number.
So the greatest common factor 6000 and 6005 is 5.

Also check out the Least Common Multiple of 6000 and 6005

Properties of GCF 6000 and 6005

(i) The GCF of 6000 and 6005 is associative

GCF of 6000 and 6005 = GCF of 6005 and 6000

Related Greatest Common Factor of 6000

Related Greatest Common Factor of 6005

Frequently Asked Questions on GCF of 6000 and 6005

1. What is the GCF of 6000 and 6005?

Answer: GCF of 6000 and 6005 is 5.

2. What are the Factors of 6000?

Answer: Factors of 6000 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40, 48, 50, 60, 75, 80, 100, 120, 125, 150, 200, 240, 250, 300, 375, 400, 500, 600, 750, 1000, 1200, 1500, 2000, 3000, 6000. There are 40 integers that are factors of 6000. The greatest factor of 6000 is 6000.

3. What are the Factors of 6005?

Answer: Factors of 6005 are 1, 5, 1201, 6005. There are 4 integers that are factors of 6005. The greatest factor of 6005 is 6005.

4. How to Find the GCF of 6000 and 6005?

Answer:

Greatest Common Factor of 6000 and 6005 = 5

Step 1: Find the prime factorization of 6000

6000 = 2 x 2 x 2 x 2 x 3 x 5 x 5 x 5

Step 2: Find the prime factorization of 6005

6005 = 5 x 1201

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 6000 and 6005 is 5