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, 5008 i.e. 8 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5000 and 5008 is 8.
GCF(5000,5008) = 8
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 5008
2 | 5008 |
2 | 2504 |
2 | 1252 |
2 | 626 |
313 | 313 |
1 |
Prime factors of 5008 are 2,313. Prime factorization of 5008 in exponential form is:
5008 = 24×3131
∴ So by taking common prime factors GCF of 5000 and 5008 is 8
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 5008
List of positive integer factors of 5008 that divides 5008 without a remainder.
1,2,4,8,16,313,626,1252,2504,5008
Greatest Common Factor
We found the factors and prime factorization of 5000 and 5008. The biggest common factor number is the GCF number.
So the greatest common factor 5000 and 5008 is 8.
Also check out the Least Common Multiple of 5000 and 5008
(i) The GCF of 5000 and 5008 is associative
GCF of 5000 and 5008 = GCF of 5008 and 5000
1. What is the GCF of 5000 and 5008?
Answer: GCF of 5000 and 5008 is 8.
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 5008?
Answer: Factors of 5008 are 1, 2, 4, 8, 16, 313, 626, 1252, 2504, 5008. There are 10 integers that are factors of 5008. The greatest factor of 5008 is 5008.
4. How to Find the GCF of 5000 and 5008?
Answer:
Greatest Common Factor of 5000 and 5008 = 8
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 5008
5008 = 2 x 2 x 2 x 2 x 313
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 5000 and 5008 is 8