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 9980, 9982 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9980 and 9982 is 2.
GCF(9980,9982) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9980
2 | 9980 |
2 | 4990 |
5 | 2495 |
499 | 499 |
1 |
Prime factors of 9980 are 2,5,499. Prime factorization of 9980 in exponential form is:
9980 = 22×51×4991
Prime Factorization of 9982
2 | 9982 |
7 | 4991 |
23 | 713 |
31 | 31 |
1 |
Prime factors of 9982 are 2,7,23,31. Prime factorization of 9982 in exponential form is:
9982 = 21×71×231×311
∴ So by taking common prime factors GCF of 9980 and 9982 is 2
Factors of 9980
List of positive integer factors of 9980 that divides 9980 without a remainder.
1,2,4,5,10,20,499,998,1996,2495,4990,9980
Factors of 9982
List of positive integer factors of 9982 that divides 9982 without a remainder.
1,2,7,14,23,31,46,62,161,217,322,434,713,1426,4991,9982
Greatest Common Factor
We found the factors and prime factorization of 9980 and 9982. The biggest common factor number is the GCF number.
So the greatest common factor 9980 and 9982 is 2.
Also check out the Least Common Multiple of 9980 and 9982
(i) The GCF of 9980 and 9982 is associative
GCF of 9980 and 9982 = GCF of 9982 and 9980
1. What is the GCF of 9980 and 9982?
Answer: GCF of 9980 and 9982 is 2.
2. What are the Factors of 9980?
Answer: Factors of 9980 are 1, 2, 4, 5, 10, 20, 499, 998, 1996, 2495, 4990, 9980. There are 12 integers that are factors of 9980. The greatest factor of 9980 is 9980.
3. What are the Factors of 9982?
Answer: Factors of 9982 are 1, 2, 7, 14, 23, 31, 46, 62, 161, 217, 322, 434, 713, 1426, 4991, 9982. There are 16 integers that are factors of 9982. The greatest factor of 9982 is 9982.
4. How to Find the GCF of 9980 and 9982?
Answer:
Greatest Common Factor of 9980 and 9982 = 2
Step 1: Find the prime factorization of 9980
9980 = 2 x 2 x 5 x 499
Step 2: Find the prime factorization of 9982
9982 = 2 x 7 x 23 x 31
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 9980 and 9982 is 2