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 4999, 5007 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4999 and 5007 is 1.
GCF(4999,5007) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4999
4999 | 4999 |
1 |
Prime factors of 4999 are 4999. Prime factorization of 4999 in exponential form is:
4999 = 49991
Prime Factorization of 5007
3 | 5007 |
1669 | 1669 |
1 |
Prime factors of 5007 are 3.Prime factorization of 5007 in exponential form is:
5007 = 31×16691
∴ So by taking common prime factors GCF of 4999 and 5007 is 1
Factors of 4999
List of positive integer factors of 4999 that divides 4999 without a remainder.
1,4999
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 4999 and 5007. The biggest common factor number is the GCF number.
So the greatest common factor 4999 and 5007 is 1.
Also check out the Least Common Multiple of 4999 and 5007
(i) The GCF of 4999 and 5007 is associative
GCF of 4999 and 5007 = GCF of 5007 and 4999
1. What is the GCF of 4999 and 5007?
Answer: GCF of 4999 and 5007 is 1.
2. What are the Factors of 4999?
Answer: Factors of 4999 are 1, 4999. There are 2 integers that are factors of 4999. The greatest factor of 4999 is 4999.
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 4999 and 5007?
Answer:
Greatest Common Factor of 4999 and 5007 = 1
Step 1: Find the prime factorization of 4999
4999 = 4999
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 = = 1
Step 4: Therefore, the greatest common factor of 4999 and 5007 is 1