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 5002, 5005 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5002 and 5005 is 1.
GCF(5002,5005) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 5005
5 | 5005 |
7 | 1001 |
11 | 143 |
13 | 13 |
1 |
Prime factors of 5005 are 5,7,11,13. Prime factorization of 5005 in exponential form is:
5005 = 51×71×111×131
∴ So by taking common prime factors GCF of 5002 and 5005 is 1
Factors of 5002
List of positive integer factors of 5002 that divides 5002 without a remainder.
1,2,41,61,82,122,2501,5002
Factors of 5005
List of positive integer factors of 5005 that divides 5005 without a remainder.
1,5,7,11,13,35,55,65,77,91,143,385,455,715,1001,5005
Greatest Common Factor
We found the factors and prime factorization of 5002 and 5005. The biggest common factor number is the GCF number.
So the greatest common factor 5002 and 5005 is 1.
Also check out the Least Common Multiple of 5002 and 5005
(i) The GCF of 5002 and 5005 is associative
GCF of 5002 and 5005 = GCF of 5005 and 5002
1. What is the GCF of 5002 and 5005?
Answer: GCF of 5002 and 5005 is 1.
2. 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.
3. What are the Factors of 5005?
Answer: Factors of 5005 are 1, 5, 7, 11, 13, 35, 55, 65, 77, 91, 143, 385, 455, 715, 1001, 5005. There are 16 integers that are factors of 5005. The greatest factor of 5005 is 5005.
4. How to Find the GCF of 5002 and 5005?
Answer:
Greatest Common Factor of 5002 and 5005 = 1
Step 1: Find the prime factorization of 5002
5002 = 2 x 41 x 61
Step 2: Find the prime factorization of 5005
5005 = 5 x 7 x 11 x 13
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 5002 and 5005 is 1