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, 5002 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5000 and 5002 is 2.
GCF(5000,5002) = 2
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 5002
2 | 5002 |
41 | 2501 |
61 | 61 |
1 |
Prime factors of 5002 are 2,41,61. Prime factorization of 5002 in exponential form is:
5002 = 21×411×611
∴ So by taking common prime factors GCF of 5000 and 5002 is 2
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 5002
List of positive integer factors of 5002 that divides 5002 without a remainder.
1,2,41,61,82,122,2501,5002
Greatest Common Factor
We found the factors and prime factorization of 5000 and 5002. The biggest common factor number is the GCF number.
So the greatest common factor 5000 and 5002 is 2.
Also check out the Least Common Multiple of 5000 and 5002
(i) The GCF of 5000 and 5002 is associative
GCF of 5000 and 5002 = GCF of 5002 and 5000
1. What is the GCF of 5000 and 5002?
Answer: GCF of 5000 and 5002 is 2.
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 5002?
Answer: Factors of 5002 are 1, 2, 41, 61, 82, 122, 2501, 5002. There are 8 integers that are factors of 5002. The greatest factor of 5002 is 5002.
4. How to Find the GCF of 5000 and 5002?
Answer:
Greatest Common Factor of 5000 and 5002 = 2
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 5002
5002 = 2 x 41 x 61
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 5000 and 5002 is 2