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 5004, 5006 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5004 and 5006 is 2.
GCF(5004,5006) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 5006
2 | 5006 |
2503 | 2503 |
1 |
Prime factors of 5006 are 2,2503. Prime factorization of 5006 in exponential form is:
5006 = 21×25031
∴ So by taking common prime factors GCF of 5004 and 5006 is 2
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
Factors of 5006
List of positive integer factors of 5006 that divides 5006 without a remainder.
1,2,2503,5006
Greatest Common Factor
We found the factors and prime factorization of 5004 and 5006. The biggest common factor number is the GCF number.
So the greatest common factor 5004 and 5006 is 2.
Also check out the Least Common Multiple of 5004 and 5006
(i) The GCF of 5004 and 5006 is associative
GCF of 5004 and 5006 = GCF of 5006 and 5004
1. What is the GCF of 5004 and 5006?
Answer: GCF of 5004 and 5006 is 2.
2. 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.
3. What are the Factors of 5006?
Answer: Factors of 5006 are 1, 2, 2503, 5006. There are 4 integers that are factors of 5006. The greatest factor of 5006 is 5006.
4. How to Find the GCF of 5004 and 5006?
Answer:
Greatest Common Factor of 5004 and 5006 = 2
Step 1: Find the prime factorization of 5004
5004 = 2 x 2 x 3 x 3 x 139
Step 2: Find the prime factorization of 5006
5006 = 2 x 2503
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 5004 and 5006 is 2