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 1987, 1992 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1987 and 1992 is 1.
GCF(1987,1992) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1987
1987 | 1987 |
1 |
Prime factors of 1987 are 1987. Prime factorization of 1987 in exponential form is:
1987 = 19871
Prime Factorization of 1992
2 | 1992 |
2 | 996 |
2 | 498 |
3 | 249 |
83 | 83 |
1 |
Prime factors of 1992 are 2.Prime factorization of 1992 in exponential form is:
1992 = 23×31×831
∴ So by taking common prime factors GCF of 1987 and 1992 is 1
Factors of 1987
List of positive integer factors of 1987 that divides 1987 without a remainder.
1,1987
Factors of 1992
List of positive integer factors of 1992 that divides 1992 without a remainder.
1,2,3,4,6,8,12,24,83,166,249,332,498,664,996,1992
Greatest Common Factor
We found the factors and prime factorization of 1987 and 1992. The biggest common factor number is the GCF number.
So the greatest common factor 1987 and 1992 is 1.
Also check out the Least Common Multiple of 1987 and 1992
(i) The GCF of 1987 and 1992 is associative
GCF of 1987 and 1992 = GCF of 1992 and 1987
1. What is the GCF of 1987 and 1992?
Answer: GCF of 1987 and 1992 is 1.
2. What are the Factors of 1987?
Answer: Factors of 1987 are 1, 1987. There are 2 integers that are factors of 1987. The greatest factor of 1987 is 1987.
3. What are the Factors of 1992?
Answer: Factors of 1992 are 1, 2, 3, 4, 6, 8, 12, 24, 83, 166, 249, 332, 498, 664, 996, 1992. There are 16 integers that are factors of 1992. The greatest factor of 1992 is 1992.
4. How to Find the GCF of 1987 and 1992?
Answer:
Greatest Common Factor of 1987 and 1992 = 1
Step 1: Find the prime factorization of 1987
1987 = 1987
Step 2: Find the prime factorization of 1992
1992 = 2 x 2 x 2 x 3 x 83
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = = 1
Step 4: Therefore, the greatest common factor of 1987 and 1992 is 1