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 9115, 9117 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9115 and 9117 is 1.
GCF(9115,9117) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9115
5 | 9115 |
1823 | 1823 |
1 |
Prime factors of 9115 are 5,1823. Prime factorization of 9115 in exponential form is:
9115 = 51×18231
Prime Factorization of 9117
3 | 9117 |
3 | 3039 |
1013 | 1013 |
1 |
Prime factors of 9117 are 3,1013. Prime factorization of 9117 in exponential form is:
9117 = 32×10131
∴ So by taking common prime factors GCF of 9115 and 9117 is 1
Factors of 9115
List of positive integer factors of 9115 that divides 9115 without a remainder.
1,5,1823,9115
Factors of 9117
List of positive integer factors of 9117 that divides 9117 without a remainder.
1,3,9,1013,3039,9117
Greatest Common Factor
We found the factors and prime factorization of 9115 and 9117. The biggest common factor number is the GCF number.
So the greatest common factor 9115 and 9117 is 1.
Also check out the Least Common Multiple of 9115 and 9117
(i) The GCF of 9115 and 9117 is associative
GCF of 9115 and 9117 = GCF of 9117 and 9115
1. What is the GCF of 9115 and 9117?
Answer: GCF of 9115 and 9117 is 1.
2. What are the Factors of 9115?
Answer: Factors of 9115 are 1, 5, 1823, 9115. There are 4 integers that are factors of 9115. The greatest factor of 9115 is 9115.
3. What are the Factors of 9117?
Answer: Factors of 9117 are 1, 3, 9, 1013, 3039, 9117. There are 6 integers that are factors of 9117. The greatest factor of 9117 is 9117.
4. How to Find the GCF of 9115 and 9117?
Answer:
Greatest Common Factor of 9115 and 9117 = 1
Step 1: Find the prime factorization of 9115
9115 = 5 x 1823
Step 2: Find the prime factorization of 9117
9117 = 3 x 3 x 1013
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 9115 and 9117 is 1