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, 1988 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1982 and 1988 is 2.
GCF(1982,1988) = 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 1988
2 | 1988 |
2 | 994 |
7 | 497 |
71 | 71 |
1 |
Prime factors of 1988 are 2,7,71. Prime factorization of 1988 in exponential form is:
1988 = 22×71×711
∴ So by taking common prime factors GCF of 1982 and 1988 is 2
Factors of 1982
List of positive integer factors of 1982 that divides 1982 without a remainder.
1,2,991,1982
Factors of 1988
List of positive integer factors of 1988 that divides 1988 without a remainder.
1,2,4,7,14,28,71,142,284,497,994,1988
Greatest Common Factor
We found the factors and prime factorization of 1982 and 1988. The biggest common factor number is the GCF number.
So the greatest common factor 1982 and 1988 is 2.
Also check out the Least Common Multiple of 1982 and 1988
(i) The GCF of 1982 and 1988 is associative
GCF of 1982 and 1988 = GCF of 1988 and 1982
1. What is the GCF of 1982 and 1988?
Answer: GCF of 1982 and 1988 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 1988?
Answer: Factors of 1988 are 1, 2, 4, 7, 14, 28, 71, 142, 284, 497, 994, 1988. There are 12 integers that are factors of 1988. The greatest factor of 1988 is 1988.
4. How to Find the GCF of 1982 and 1988?
Answer:
Greatest Common Factor of 1982 and 1988 = 2
Step 1: Find the prime factorization of 1982
1982 = 2 x 991
Step 2: Find the prime factorization of 1988
1988 = 2 x 2 x 7 x 71
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 1988 is 2