Greatest Common Factor of 5996 and 6000

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 5996, 6000 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5996 and 6000 is 4.

GCF(5996,6000) = 4

GCF of 5996 and 6000

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

GCF of:
and

Greatest Common Factor of 5996 and 6000

GCF of 5996 and 6000 is 4

Prime Factorization of 5996


2 5996
2 2998
1499 1499
1

Prime factors of 5996 are 2,1499. Prime factorization of 5996 in exponential form is:

5996 = 22×14991

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

∴ So by taking common prime factors GCF of 5996 and 6000 is 4

Greatest Common Factor of 5996 and 6000 by matching factors method

Factors of 5996

List of positive integer factors of 5996 that divides 5996 without a remainder.

1,2,4,1499,2998,5996

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

Greatest Common Factor

We found the factors and prime factorization of 5996 and 6000. The biggest common factor number is the GCF number.
So the greatest common factor 5996 and 6000 is 4.

Also check out the Least Common Multiple of 5996 and 6000

Properties of GCF 5996 and 6000

(i) The GCF of 5996 and 6000 is associative

GCF of 5996 and 6000 = GCF of 6000 and 5996

Related Greatest Common Factor of 5996

Related Greatest Common Factor of 6000

Frequently Asked Questions on GCF of 5996 and 6000

1. What is the GCF of 5996 and 6000?

Answer: GCF of 5996 and 6000 is 4.

2. What are the Factors of 5996?

Answer: Factors of 5996 are 1, 2, 4, 1499, 2998, 5996. There are 6 integers that are factors of 5996. The greatest factor of 5996 is 5996.

3. 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.

4. How to Find the GCF of 5996 and 6000?

Answer:

Greatest Common Factor of 5996 and 6000 = 4

Step 1: Find the prime factorization of 5996

5996 = 2 x 2 x 1499

Step 2: Find the prime factorization of 6000

6000 = 2 x 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 2 = 4

Step 4: Therefore, the greatest common factor of 5996 and 6000 is 4