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 9987, 9991 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9987 and 9991 is 1.
GCF(9987,9991) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9987
3 | 9987 |
3329 | 3329 |
1 |
Prime factors of 9987 are 3,3329. Prime factorization of 9987 in exponential form is:
9987 = 31×33291
Prime Factorization of 9991
97 | 9991 |
103 | 103 |
1 |
Prime factors of 9991 are 97,103. Prime factorization of 9991 in exponential form is:
9991 = 971×1031
∴ So by taking common prime factors GCF of 9987 and 9991 is 1
Factors of 9987
List of positive integer factors of 9987 that divides 9987 without a remainder.
1,3,3329,9987
Factors of 9991
List of positive integer factors of 9991 that divides 9991 without a remainder.
1,97,103,9991
Greatest Common Factor
We found the factors and prime factorization of 9987 and 9991. The biggest common factor number is the GCF number.
So the greatest common factor 9987 and 9991 is 1.
Also check out the Least Common Multiple of 9987 and 9991
(i) The GCF of 9987 and 9991 is associative
GCF of 9987 and 9991 = GCF of 9991 and 9987
1. What is the GCF of 9987 and 9991?
Answer: GCF of 9987 and 9991 is 1.
2. What are the Factors of 9987?
Answer: Factors of 9987 are 1, 3, 3329, 9987. There are 4 integers that are factors of 9987. The greatest factor of 9987 is 9987.
3. What are the Factors of 9991?
Answer: Factors of 9991 are 1, 97, 103, 9991. There are 4 integers that are factors of 9991. The greatest factor of 9991 is 9991.
4. How to Find the GCF of 9987 and 9991?
Answer:
Greatest Common Factor of 9987 and 9991 = 1
Step 1: Find the prime factorization of 9987
9987 = 3 x 3329
Step 2: Find the prime factorization of 9991
9991 = 97 x 103
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 9987 and 9991 is 1