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 4982, 4989 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4982 and 4989 is 1.
GCF(4982,4989) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4982
2 | 4982 |
47 | 2491 |
53 | 53 |
1 |
Prime factors of 4982 are 2,47,53. Prime factorization of 4982 in exponential form is:
4982 = 21×471×531
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
∴ So by taking common prime factors GCF of 4982 and 4989 is 1
Factors of 4982
List of positive integer factors of 4982 that divides 4982 without a remainder.
1,2,47,53,94,106,2491,4982
Factors of 4989
List of positive integer factors of 4989 that divides 4989 without a remainder.
1,3,1663,4989
Greatest Common Factor
We found the factors and prime factorization of 4982 and 4989. The biggest common factor number is the GCF number.
So the greatest common factor 4982 and 4989 is 1.
Also check out the Least Common Multiple of 4982 and 4989
(i) The GCF of 4982 and 4989 is associative
GCF of 4982 and 4989 = GCF of 4989 and 4982
1. What is the GCF of 4982 and 4989?
Answer: GCF of 4982 and 4989 is 1.
2. What are the Factors of 4982?
Answer: Factors of 4982 are 1, 2, 47, 53, 94, 106, 2491, 4982. There are 8 integers that are factors of 4982. The greatest factor of 4982 is 4982.
3. 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.
4. How to Find the GCF of 4982 and 4989?
Answer:
Greatest Common Factor of 4982 and 4989 = 1
Step 1: Find the prime factorization of 4982
4982 = 2 x 47 x 53
Step 2: Find the prime factorization of 4989
4989 = 3 x 1663
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 4982 and 4989 is 1