Greatest Common Factor of 2994 and 3000

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 2994, 3000 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2994 and 3000 is 6.

GCF(2994,3000) = 6

GCF of 2994 and 3000

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

GCF of:
and

Greatest Common Factor of 2994 and 3000

GCF of 2994 and 3000 is 6

Prime Factorization of 2994


2 2994
3 1497
499 499
1

Prime factors of 2994 are 2,3,499. Prime factorization of 2994 in exponential form is:

2994 = 21×31×4991

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

∴ So by taking common prime factors GCF of 2994 and 3000 is 6

Greatest Common Factor of 2994 and 3000 by matching factors method

Factors of 2994

List of positive integer factors of 2994 that divides 2994 without a remainder.

1,2,3,6,499,998,1497,2994

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

Greatest Common Factor

We found the factors and prime factorization of 2994 and 3000. The biggest common factor number is the GCF number.
So the greatest common factor 2994 and 3000 is 6.

Also check out the Least Common Multiple of 2994 and 3000

Properties of GCF 2994 and 3000

(i) The GCF of 2994 and 3000 is associative

GCF of 2994 and 3000 = GCF of 3000 and 2994

Related Greatest Common Factor of 2994

Related Greatest Common Factor of 3000

Frequently Asked Questions on GCF of 2994 and 3000

1. What is the GCF of 2994 and 3000?

Answer: GCF of 2994 and 3000 is 6.

2. What are the Factors of 2994?

Answer: Factors of 2994 are 1, 2, 3, 6, 499, 998, 1497, 2994. There are 8 integers that are factors of 2994. The greatest factor of 2994 is 2994.

3. 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.

4. How to Find the GCF of 2994 and 3000?

Answer:

Greatest Common Factor of 2994 and 3000 = 6

Step 1: Find the prime factorization of 2994

2994 = 2 x 3 x 499

Step 2: Find the prime factorization of 3000

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

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 2994 and 3000 is 6