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 9991, 9997 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9991 and 9997 is 1.
GCF(9991,9997) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 9997
13 | 9997 |
769 | 769 |
1 |
Prime factors of 9997 are 13,769. Prime factorization of 9997 in exponential form is:
9997 = 131×7691
∴ So by taking common prime factors GCF of 9991 and 9997 is 1
Factors of 9991
List of positive integer factors of 9991 that divides 9991 without a remainder.
1,97,103,9991
Factors of 9997
List of positive integer factors of 9997 that divides 9997 without a remainder.
1,13,769,9997
Greatest Common Factor
We found the factors and prime factorization of 9991 and 9997. The biggest common factor number is the GCF number.
So the greatest common factor 9991 and 9997 is 1.
Also check out the Least Common Multiple of 9991 and 9997
(i) The GCF of 9991 and 9997 is associative
GCF of 9991 and 9997 = GCF of 9997 and 9991
1. What is the GCF of 9991 and 9997?
Answer: GCF of 9991 and 9997 is 1.
2. 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.
3. What are the Factors of 9997?
Answer: Factors of 9997 are 1, 13, 769, 9997. There are 4 integers that are factors of 9997. The greatest factor of 9997 is 9997.
4. How to Find the GCF of 9991 and 9997?
Answer:
Greatest Common Factor of 9991 and 9997 = 1
Step 1: Find the prime factorization of 9991
9991 = 97 x 103
Step 2: Find the prime factorization of 9997
9997 = 13 x 769
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 9991 and 9997 is 1