Greatest Common Factor of 6000 and 6006

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, 6006 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6000 and 6006 is 6.

GCF(6000,6006) = 6

GCF of 6000 and 6006

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

GCF of:
and

Greatest Common Factor of 6000 and 6006

GCF of 6000 and 6006 is 6

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 6006


2 6006
3 3003
7 1001
11 143
13 13
1

Prime factors of 6006 are 2,3,7,11,13. Prime factorization of 6006 in exponential form is:

6006 = 21×31×71×111×131

∴ So by taking common prime factors GCF of 6000 and 6006 is 6

Greatest Common Factor of 6000 and 6006 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 6006

List of positive integer factors of 6006 that divides 6006 without a remainder.

1,2,3,6,7,11,13,14,21,22,26,33,39,42,66,77,78,91,143,154,182,231,273,286,429,462,546,858,1001,2002,3003,6006

Greatest Common Factor

We found the factors and prime factorization of 6000 and 6006. The biggest common factor number is the GCF number.
So the greatest common factor 6000 and 6006 is 6.

Also check out the Least Common Multiple of 6000 and 6006

Properties of GCF 6000 and 6006

(i) The GCF of 6000 and 6006 is associative

GCF of 6000 and 6006 = GCF of 6006 and 6000

Related Greatest Common Factor of 6000

Related Greatest Common Factor of 6006

Frequently Asked Questions on GCF of 6000 and 6006

1. What is the GCF of 6000 and 6006?

Answer: GCF of 6000 and 6006 is 6.

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 6006?

Answer: Factors of 6006 are 1, 2, 3, 6, 7, 11, 13, 14, 21, 22, 26, 33, 39, 42, 66, 77, 78, 91, 143, 154, 182, 231, 273, 286, 429, 462, 546, 858, 1001, 2002, 3003, 6006. There are 32 integers that are factors of 6006. The greatest factor of 6006 is 6006.

4. How to Find the GCF of 6000 and 6006?

Answer:

Greatest Common Factor of 6000 and 6006 = 6

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 6006

6006 = 2 x 3 x 7 x 11 x 13

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 6000 and 6006 is 6