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 982, 984 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 982 and 984 is 2.
GCF(982,984) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 982
2 | 982 |
491 | 491 |
1 |
Prime factors of 982 are 2,491. Prime factorization of 982 in exponential form is:
982 = 21×4911
Prime Factorization of 984
2 | 984 |
2 | 492 |
2 | 246 |
3 | 123 |
41 | 41 |
1 |
Prime factors of 984 are 2,3,41. Prime factorization of 984 in exponential form is:
984 = 23×31×411
∴ So by taking common prime factors GCF of 982 and 984 is 2
Factors of 982
List of positive integer factors of 982 that divides 982 without a remainder.
1,2,491,982
Factors of 984
List of positive integer factors of 984 that divides 984 without a remainder.
1,2,3,4,6,8,12,24,41,82,123,164,246,328,492,984
Greatest Common Factor
We found the factors and prime factorization of 982 and 984. The biggest common factor number is the GCF number.
So the greatest common factor 982 and 984 is 2.
Also check out the Least Common Multiple of 982 and 984
(i) The GCF of 982 and 984 is associative
GCF of 982 and 984 = GCF of 984 and 982
1. What is the GCF of 982 and 984?
Answer: GCF of 982 and 984 is 2.
2. What are the Factors of 982?
Answer: Factors of 982 are 1, 2, 491, 982. There are 4 integers that are factors of 982. The greatest factor of 982 is 982.
3. What are the Factors of 984?
Answer: Factors of 984 are 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984. There are 16 integers that are factors of 984. The greatest factor of 984 is 984.
4. How to Find the GCF of 982 and 984?
Answer:
Greatest Common Factor of 982 and 984 = 2
Step 1: Find the prime factorization of 982
982 = 2 x 491
Step 2: Find the prime factorization of 984
984 = 2 x 2 x 2 x 3 x 41
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 982 and 984 is 2