Greatest Common Factor of 6000 and 6002

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, 6002 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6000 and 6002 is 2.

GCF(6000,6002) = 2

GCF of 6000 and 6002

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

GCF of:
and

Greatest Common Factor of 6000 and 6002

GCF of 6000 and 6002 is 2

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 6002


2 6002
3001 3001
1

Prime factors of 6002 are 2,3001. Prime factorization of 6002 in exponential form is:

6002 = 21×30011

∴ So by taking common prime factors GCF of 6000 and 6002 is 2

Greatest Common Factor of 6000 and 6002 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 6002

List of positive integer factors of 6002 that divides 6002 without a remainder.

1,2,3001,6002

Greatest Common Factor

We found the factors and prime factorization of 6000 and 6002. The biggest common factor number is the GCF number.
So the greatest common factor 6000 and 6002 is 2.

Also check out the Least Common Multiple of 6000 and 6002

Properties of GCF 6000 and 6002

(i) The GCF of 6000 and 6002 is associative

GCF of 6000 and 6002 = GCF of 6002 and 6000

Related Greatest Common Factor of 6000

Related Greatest Common Factor of 6002

Frequently Asked Questions on GCF of 6000 and 6002

1. What is the GCF of 6000 and 6002?

Answer: GCF of 6000 and 6002 is 2.

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 6002?

Answer: Factors of 6002 are 1, 2, 3001, 6002. There are 4 integers that are factors of 6002. The greatest factor of 6002 is 6002.

4. How to Find the GCF of 6000 and 6002?

Answer:

Greatest Common Factor of 6000 and 6002 = 2

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 6002

6002 = 2 x 3001

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

GCF = 2

Step 4: Therefore, the greatest common factor of 6000 and 6002 is 2