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, 5004 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5002 and 5004 is 2.
GCF(5002,5004) = 2
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 5004
2 | 5004 |
2 | 2502 |
3 | 1251 |
3 | 417 |
139 | 139 |
1 |
Prime factors of 5004 are 2,3,139. Prime factorization of 5004 in exponential form is:
5004 = 22×32×1391
∴ So by taking common prime factors GCF of 5002 and 5004 is 2
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 5004
List of positive integer factors of 5004 that divides 5004 without a remainder.
1,2,3,4,6,9,12,18,36,139,278,417,556,834,1251,1668,2502,5004
Greatest Common Factor
We found the factors and prime factorization of 5002 and 5004. The biggest common factor number is the GCF number.
So the greatest common factor 5002 and 5004 is 2.
Also check out the Least Common Multiple of 5002 and 5004
(i) The GCF of 5002 and 5004 is associative
GCF of 5002 and 5004 = GCF of 5004 and 5002
1. What is the GCF of 5002 and 5004?
Answer: GCF of 5002 and 5004 is 2.
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 5004?
Answer: Factors of 5004 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 139, 278, 417, 556, 834, 1251, 1668, 2502, 5004. There are 18 integers that are factors of 5004. The greatest factor of 5004 is 5004.
4. How to Find the GCF of 5002 and 5004?
Answer:
Greatest Common Factor of 5002 and 5004 = 2
Step 1: Find the prime factorization of 5002
5002 = 2 x 41 x 61
Step 2: Find the prime factorization of 5004
5004 = 2 x 2 x 3 x 3 x 139
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 5002 and 5004 is 2