Greatest Common Factor of 3000 and 3004

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 3000, 3004 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3000 and 3004 is 4.

GCF(3000,3004) = 4

GCF of 3000 and 3004

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

GCF of:
and

Greatest Common Factor of 3000 and 3004

GCF of 3000 and 3004 is 4

Prime Factorization of 3000


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

Prime factors of 3000 are 2,3,5. Prime factorization of 3000 in exponential form is:

3000 = 23×31×53

Prime Factorization of 3004


2 3004
2 1502
751 751
1

Prime factors of 3004 are 2,751. Prime factorization of 3004 in exponential form is:

3004 = 22×7511

∴ So by taking common prime factors GCF of 3000 and 3004 is 4

Greatest Common Factor of 3000 and 3004 by matching factors method

Factors of 3000

List of positive integer factors of 3000 that divides 3000 without a remainder.

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

Factors of 3004

List of positive integer factors of 3004 that divides 3004 without a remainder.

1,2,4,751,1502,3004

Greatest Common Factor

We found the factors and prime factorization of 3000 and 3004. The biggest common factor number is the GCF number.
So the greatest common factor 3000 and 3004 is 4.

Also check out the Least Common Multiple of 3000 and 3004

Properties of GCF 3000 and 3004

(i) The GCF of 3000 and 3004 is associative

GCF of 3000 and 3004 = GCF of 3004 and 3000

Related Greatest Common Factor of 3000

Related Greatest Common Factor of 3004

Frequently Asked Questions on GCF of 3000 and 3004

1. What is the GCF of 3000 and 3004?

Answer: GCF of 3000 and 3004 is 4.

2. What are the Factors of 3000?

Answer: Factors of 3000 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 125, 150, 200, 250, 300, 375, 500, 600, 750, 1000, 1500, 3000. There are 32 integers that are factors of 3000. The greatest factor of 3000 is 3000.

3. What are the Factors of 3004?

Answer: Factors of 3004 are 1, 2, 4, 751, 1502, 3004. There are 6 integers that are factors of 3004. The greatest factor of 3004 is 3004.

4. How to Find the GCF of 3000 and 3004?

Answer:

Greatest Common Factor of 3000 and 3004 = 4

Step 1: Find the prime factorization of 3000

3000 = 2 x 2 x 2 x 3 x 5 x 5 x 5

Step 2: Find the prime factorization of 3004

3004 = 2 x 2 x 751

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 3000 and 3004 is 4