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 9099, 9107 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9099 and 9107 is 1.
GCF(9099,9107) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9099
3 | 9099 |
3 | 3033 |
3 | 1011 |
337 | 337 |
1 |
Prime factors of 9099 are 3,337. Prime factorization of 9099 in exponential form is:
9099 = 33×3371
Prime Factorization of 9107
7 | 9107 |
1301 | 1301 |
1 |
Prime factors of 9107 are 7,1301. Prime factorization of 9107 in exponential form is:
9107 = 71×13011
∴ So by taking common prime factors GCF of 9099 and 9107 is 1
Factors of 9099
List of positive integer factors of 9099 that divides 9099 without a remainder.
1,3,9,27,337,1011,3033,9099
Factors of 9107
List of positive integer factors of 9107 that divides 9107 without a remainder.
1,7,1301,9107
Greatest Common Factor
We found the factors and prime factorization of 9099 and 9107. The biggest common factor number is the GCF number.
So the greatest common factor 9099 and 9107 is 1.
Also check out the Least Common Multiple of 9099 and 9107
(i) The GCF of 9099 and 9107 is associative
GCF of 9099 and 9107 = GCF of 9107 and 9099
1. What is the GCF of 9099 and 9107?
Answer: GCF of 9099 and 9107 is 1.
2. What are the Factors of 9099?
Answer: Factors of 9099 are 1, 3, 9, 27, 337, 1011, 3033, 9099. There are 8 integers that are factors of 9099. The greatest factor of 9099 is 9099.
3. What are the Factors of 9107?
Answer: Factors of 9107 are 1, 7, 1301, 9107. There are 4 integers that are factors of 9107. The greatest factor of 9107 is 9107.
4. How to Find the GCF of 9099 and 9107?
Answer:
Greatest Common Factor of 9099 and 9107 = 1
Step 1: Find the prime factorization of 9099
9099 = 3 x 3 x 3 x 337
Step 2: Find the prime factorization of 9107
9107 = 7 x 1301
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 9099 and 9107 is 1