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 5001, 5007 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5001 and 5007 is 3.
GCF(5001,5007) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5001
3 | 5001 |
1667 | 1667 |
1 |
Prime factors of 5001 are 3,1667. Prime factorization of 5001 in exponential form is:
5001 = 31×16671
Prime Factorization of 5007
3 | 5007 |
1669 | 1669 |
1 |
Prime factors of 5007 are 3,1669. Prime factorization of 5007 in exponential form is:
5007 = 31×16691
∴ So by taking common prime factors GCF of 5001 and 5007 is 3
Factors of 5001
List of positive integer factors of 5001 that divides 5001 without a remainder.
1,3,1667,5001
Factors of 5007
List of positive integer factors of 5007 that divides 5007 without a remainder.
1,3,1669,5007
Greatest Common Factor
We found the factors and prime factorization of 5001 and 5007. The biggest common factor number is the GCF number.
So the greatest common factor 5001 and 5007 is 3.
Also check out the Least Common Multiple of 5001 and 5007
(i) The GCF of 5001 and 5007 is associative
GCF of 5001 and 5007 = GCF of 5007 and 5001
1. What is the GCF of 5001 and 5007?
Answer: GCF of 5001 and 5007 is 3.
2. What are the Factors of 5001?
Answer: Factors of 5001 are 1, 3, 1667, 5001. There are 4 integers that are factors of 5001. The greatest factor of 5001 is 5001.
3. What are the Factors of 5007?
Answer: Factors of 5007 are 1, 3, 1669, 5007. There are 4 integers that are factors of 5007. The greatest factor of 5007 is 5007.
4. How to Find the GCF of 5001 and 5007?
Answer:
Greatest Common Factor of 5001 and 5007 = 3
Step 1: Find the prime factorization of 5001
5001 = 3 x 1667
Step 2: Find the prime factorization of 5007
5007 = 3 x 1669
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 3
Step 4: Therefore, the greatest common factor of 5001 and 5007 is 3