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 4989, 4996 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4989 and 4996 is 1.
GCF(4989,4996) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4989
3 | 4989 |
1663 | 1663 |
1 |
Prime factors of 4989 are 3,1663. Prime factorization of 4989 in exponential form is:
4989 = 31×16631
Prime Factorization of 4996
2 | 4996 |
2 | 2498 |
1249 | 1249 |
1 |
Prime factors of 4996 are 2,1249. Prime factorization of 4996 in exponential form is:
4996 = 22×12491
∴ So by taking common prime factors GCF of 4989 and 4996 is 1
Factors of 4989
List of positive integer factors of 4989 that divides 4989 without a remainder.
1,3,1663,4989
Factors of 4996
List of positive integer factors of 4996 that divides 4996 without a remainder.
1,2,4,1249,2498,4996
Greatest Common Factor
We found the factors and prime factorization of 4989 and 4996. The biggest common factor number is the GCF number.
So the greatest common factor 4989 and 4996 is 1.
Also check out the Least Common Multiple of 4989 and 4996
(i) The GCF of 4989 and 4996 is associative
GCF of 4989 and 4996 = GCF of 4996 and 4989
1. What is the GCF of 4989 and 4996?
Answer: GCF of 4989 and 4996 is 1.
2. What are the Factors of 4989?
Answer: Factors of 4989 are 1, 3, 1663, 4989. There are 4 integers that are factors of 4989. The greatest factor of 4989 is 4989.
3. What are the Factors of 4996?
Answer: Factors of 4996 are 1, 2, 4, 1249, 2498, 4996. There are 6 integers that are factors of 4996. The greatest factor of 4996 is 4996.
4. How to Find the GCF of 4989 and 4996?
Answer:
Greatest Common Factor of 4989 and 4996 = 1
Step 1: Find the prime factorization of 4989
4989 = 3 x 1663
Step 2: Find the prime factorization of 4996
4996 = 2 x 2 x 1249
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 4989 and 4996 is 1