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 5000, 5003 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5000 and 5003 is 1.
GCF(5000,5003) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5000
2 | 5000 |
2 | 2500 |
2 | 1250 |
5 | 625 |
5 | 125 |
5 | 25 |
5 | 5 |
1 |
Prime factors of 5000 are 2,5. Prime factorization of 5000 in exponential form is:
5000 = 23×54
Prime Factorization of 5003
5003 | 5003 |
1 |
Prime factors of 5003 are 5003. Prime factorization of 5003 in exponential form is:
5003 = 50031
∴ So by taking common prime factors GCF of 5000 and 5003 is 1
Factors of 5000
List of positive integer factors of 5000 that divides 5000 without a remainder.
1,2,4,5,8,10,20,25,40,50,100,125,200,250,500,625,1000,1250,2500,5000
Factors of 5003
List of positive integer factors of 5003 that divides 5003 without a remainder.
1,5003
Greatest Common Factor
We found the factors and prime factorization of 5000 and 5003. The biggest common factor number is the GCF number.
So the greatest common factor 5000 and 5003 is 1.
Also check out the Least Common Multiple of 5000 and 5003
(i) The GCF of 5000 and 5003 is associative
GCF of 5000 and 5003 = GCF of 5003 and 5000
1. What is the GCF of 5000 and 5003?
Answer: GCF of 5000 and 5003 is 1.
2. What are the Factors of 5000?
Answer: Factors of 5000 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 625, 1000, 1250, 2500, 5000. There are 20 integers that are factors of 5000. The greatest factor of 5000 is 5000.
3. What are the Factors of 5003?
Answer: Factors of 5003 are 1, 5003. There are 2 integers that are factors of 5003. The greatest factor of 5003 is 5003.
4. How to Find the GCF of 5000 and 5003?
Answer:
Greatest Common Factor of 5000 and 5003 = 1
Step 1: Find the prime factorization of 5000
5000 = 2 x 2 x 2 x 5 x 5 x 5 x 5
Step 2: Find the prime factorization of 5003
5003 = 5003
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 5000 and 5003 is 1