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 4000, 4003 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4000 and 4003 is 1.
GCF(4000,4003) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4000
2 | 4000 |
2 | 2000 |
2 | 1000 |
2 | 500 |
2 | 250 |
5 | 125 |
5 | 25 |
5 | 5 |
1 |
Prime factors of 4000 are 2,5. Prime factorization of 4000 in exponential form is:
4000 = 25×53
Prime Factorization of 4003
4003 | 4003 |
1 |
Prime factors of 4003 are 4003. Prime factorization of 4003 in exponential form is:
4003 = 40031
∴ So by taking common prime factors GCF of 4000 and 4003 is 1
Factors of 4000
List of positive integer factors of 4000 that divides 4000 without a remainder.
1,2,4,5,8,10,16,20,25,32,40,50,80,100,125,160,200,250,400,500,800,1000,2000,4000
Factors of 4003
List of positive integer factors of 4003 that divides 4003 without a remainder.
1,4003
Greatest Common Factor
We found the factors and prime factorization of 4000 and 4003. The biggest common factor number is the GCF number.
So the greatest common factor 4000 and 4003 is 1.
Also check out the Least Common Multiple of 4000 and 4003
(i) The GCF of 4000 and 4003 is associative
GCF of 4000 and 4003 = GCF of 4003 and 4000
1. What is the GCF of 4000 and 4003?
Answer: GCF of 4000 and 4003 is 1.
2. What are the Factors of 4000?
Answer: Factors of 4000 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 125, 160, 200, 250, 400, 500, 800, 1000, 2000, 4000. There are 24 integers that are factors of 4000. The greatest factor of 4000 is 4000.
3. What are the Factors of 4003?
Answer: Factors of 4003 are 1, 4003. There are 2 integers that are factors of 4003. The greatest factor of 4003 is 4003.
4. How to Find the GCF of 4000 and 4003?
Answer:
Greatest Common Factor of 4000 and 4003 = 1
Step 1: Find the prime factorization of 4000
4000 = 2 x 2 x 2 x 2 x 2 x 5 x 5 x 5
Step 2: Find the prime factorization of 4003
4003 = 4003
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = = 1
Step 4: Therefore, the greatest common factor of 4000 and 4003 is 1