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 8000, 8006 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8000 and 8006 is 2.
GCF(8000,8006) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8000
2 | 8000 |
2 | 4000 |
2 | 2000 |
2 | 1000 |
2 | 500 |
2 | 250 |
5 | 125 |
5 | 25 |
5 | 5 |
1 |
Prime factors of 8000 are 2,5. Prime factorization of 8000 in exponential form is:
8000 = 26×53
Prime Factorization of 8006
2 | 8006 |
4003 | 4003 |
1 |
Prime factors of 8006 are 2,4003. Prime factorization of 8006 in exponential form is:
8006 = 21×40031
∴ So by taking common prime factors GCF of 8000 and 8006 is 2
Factors of 8000
List of positive integer factors of 8000 that divides 8000 without a remainder.
1,2,4,5,8,10,16,20,25,32,40,50,64,80,100,125,160,200,250,320,400,500,800,1000,1600,2000,4000,8000
Factors of 8006
List of positive integer factors of 8006 that divides 8006 without a remainder.
1,2,4003,8006
Greatest Common Factor
We found the factors and prime factorization of 8000 and 8006. The biggest common factor number is the GCF number.
So the greatest common factor 8000 and 8006 is 2.
Also check out the Least Common Multiple of 8000 and 8006
(i) The GCF of 8000 and 8006 is associative
GCF of 8000 and 8006 = GCF of 8006 and 8000
1. What is the GCF of 8000 and 8006?
Answer: GCF of 8000 and 8006 is 2.
2. What are the Factors of 8000?
Answer: Factors of 8000 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 125, 160, 200, 250, 320, 400, 500, 800, 1000, 1600, 2000, 4000, 8000. There are 28 integers that are factors of 8000. The greatest factor of 8000 is 8000.
3. What are the Factors of 8006?
Answer: Factors of 8006 are 1, 2, 4003, 8006. There are 4 integers that are factors of 8006. The greatest factor of 8006 is 8006.
4. How to Find the GCF of 8000 and 8006?
Answer:
Greatest Common Factor of 8000 and 8006 = 2
Step 1: Find the prime factorization of 8000
8000 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 5 x 5
Step 2: Find the prime factorization of 8006
8006 = 2 x 4003
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 8000 and 8006 is 2