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 4974, 4982 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4974 and 4982 is 2.
GCF(4974,4982) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4974
2 | 4974 |
3 | 2487 |
829 | 829 |
1 |
Prime factors of 4974 are 2,3,829. Prime factorization of 4974 in exponential form is:
4974 = 21×31×8291
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
∴ So by taking common prime factors GCF of 4974 and 4982 is 2
Factors of 4974
List of positive integer factors of 4974 that divides 4974 without a remainder.
1,2,3,6,829,1658,2487,4974
Factors of 4982
List of positive integer factors of 4982 that divides 4982 without a remainder.
1,2,47,53,94,106,2491,4982
Greatest Common Factor
We found the factors and prime factorization of 4974 and 4982. The biggest common factor number is the GCF number.
So the greatest common factor 4974 and 4982 is 2.
Also check out the Least Common Multiple of 4974 and 4982
(i) The GCF of 4974 and 4982 is associative
GCF of 4974 and 4982 = GCF of 4982 and 4974
1. What is the GCF of 4974 and 4982?
Answer: GCF of 4974 and 4982 is 2.
2. What are the Factors of 4974?
Answer: Factors of 4974 are 1, 2, 3, 6, 829, 1658, 2487, 4974. There are 8 integers that are factors of 4974. The greatest factor of 4974 is 4974.
3. 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.
4. How to Find the GCF of 4974 and 4982?
Answer:
Greatest Common Factor of 4974 and 4982 = 2
Step 1: Find the prime factorization of 4974
4974 = 2 x 3 x 829
Step 2: Find the prime factorization of 4982
4982 = 2 x 47 x 53
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 4974 and 4982 is 2