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 1982, 1990 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1982 and 1990 is 2.
GCF(1982,1990) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1982
2 | 1982 |
991 | 991 |
1 |
Prime factors of 1982 are 2,991. Prime factorization of 1982 in exponential form is:
1982 = 21×9911
Prime Factorization of 1990
2 | 1990 |
5 | 995 |
199 | 199 |
1 |
Prime factors of 1990 are 2,5,199. Prime factorization of 1990 in exponential form is:
1990 = 21×51×1991
∴ So by taking common prime factors GCF of 1982 and 1990 is 2
Factors of 1982
List of positive integer factors of 1982 that divides 1982 without a remainder.
1,2,991,1982
Factors of 1990
List of positive integer factors of 1990 that divides 1990 without a remainder.
1,2,5,10,199,398,995,1990
Greatest Common Factor
We found the factors and prime factorization of 1982 and 1990. The biggest common factor number is the GCF number.
So the greatest common factor 1982 and 1990 is 2.
Also check out the Least Common Multiple of 1982 and 1990
(i) The GCF of 1982 and 1990 is associative
GCF of 1982 and 1990 = GCF of 1990 and 1982
1. What is the GCF of 1982 and 1990?
Answer: GCF of 1982 and 1990 is 2.
2. What are the Factors of 1982?
Answer: Factors of 1982 are 1, 2, 991, 1982. There are 4 integers that are factors of 1982. The greatest factor of 1982 is 1982.
3. What are the Factors of 1990?
Answer: Factors of 1990 are 1, 2, 5, 10, 199, 398, 995, 1990. There are 8 integers that are factors of 1990. The greatest factor of 1990 is 1990.
4. How to Find the GCF of 1982 and 1990?
Answer:
Greatest Common Factor of 1982 and 1990 = 2
Step 1: Find the prime factorization of 1982
1982 = 2 x 991
Step 2: Find the prime factorization of 1990
1990 = 2 x 5 x 199
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 1982 and 1990 is 2