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 5992, 6000 i.e. 8 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5992 and 6000 is 8.
GCF(5992,6000) = 8
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5992
2 | 5992 |
2 | 2996 |
2 | 1498 |
7 | 749 |
107 | 107 |
1 |
Prime factors of 5992 are 2,7,107. Prime factorization of 5992 in exponential form is:
5992 = 23×71×1071
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 5992 and 6000 is 8
Factors of 5992
List of positive integer factors of 5992 that divides 5992 without a remainder.
1,2,4,7,8,14,28,56,107,214,428,749,856,1498,2996,5992
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 5992 and 6000. The biggest common factor number is the GCF number.
So the greatest common factor 5992 and 6000 is 8.
Also check out the Least Common Multiple of 5992 and 6000
(i) The GCF of 5992 and 6000 is associative
GCF of 5992 and 6000 = GCF of 6000 and 5992
1. What is the GCF of 5992 and 6000?
Answer: GCF of 5992 and 6000 is 8.
2. What are the Factors of 5992?
Answer: Factors of 5992 are 1, 2, 4, 7, 8, 14, 28, 56, 107, 214, 428, 749, 856, 1498, 2996, 5992. There are 16 integers that are factors of 5992. The greatest factor of 5992 is 5992.
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 5992 and 6000?
Answer:
Greatest Common Factor of 5992 and 6000 = 8
Step 1: Find the prime factorization of 5992
5992 = 2 x 2 x 2 x 7 x 107
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 x 2 = 8
Step 4: Therefore, the greatest common factor of 5992 and 6000 is 8