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 4994, 4999 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4994 and 4999 is 1.
GCF(4994,4999) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4994
2 | 4994 |
11 | 2497 |
227 | 227 |
1 |
Prime factors of 4994 are 2,11,227. Prime factorization of 4994 in exponential form is:
4994 = 21×111×2271
Prime Factorization of 4999
4999 | 4999 |
1 |
Prime factors of 4999 are 4999. Prime factorization of 4999 in exponential form is:
4999 = 49991
∴ So by taking common prime factors GCF of 4994 and 4999 is 1
Factors of 4994
List of positive integer factors of 4994 that divides 4994 without a remainder.
1,2,11,22,227,454,2497,4994
Factors of 4999
List of positive integer factors of 4999 that divides 4999 without a remainder.
1,4999
Greatest Common Factor
We found the factors and prime factorization of 4994 and 4999. The biggest common factor number is the GCF number.
So the greatest common factor 4994 and 4999 is 1.
Also check out the Least Common Multiple of 4994 and 4999
(i) The GCF of 4994 and 4999 is associative
GCF of 4994 and 4999 = GCF of 4999 and 4994
1. What is the GCF of 4994 and 4999?
Answer: GCF of 4994 and 4999 is 1.
2. What are the Factors of 4994?
Answer: Factors of 4994 are 1, 2, 11, 22, 227, 454, 2497, 4994. There are 8 integers that are factors of 4994. The greatest factor of 4994 is 4994.
3. 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.
4. How to Find the GCF of 4994 and 4999?
Answer:
Greatest Common Factor of 4994 and 4999 = 1
Step 1: Find the prime factorization of 4994
4994 = 2 x 11 x 227
Step 2: Find the prime factorization of 4999
4999 = 4999
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 4994 and 4999 is 1