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 9083, 9089 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9083 and 9089 is 1.
GCF(9083,9089) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9083
31 | 9083 |
293 | 293 |
1 |
Prime factors of 9083 are 31,293. Prime factorization of 9083 in exponential form is:
9083 = 311×2931
Prime Factorization of 9089
61 | 9089 |
149 | 149 |
1 |
Prime factors of 9089 are 61,149. Prime factorization of 9089 in exponential form is:
9089 = 611×1491
∴ So by taking common prime factors GCF of 9083 and 9089 is 1
Factors of 9083
List of positive integer factors of 9083 that divides 9083 without a remainder.
1,31,293,9083
Factors of 9089
List of positive integer factors of 9089 that divides 9089 without a remainder.
1,61,149,9089
Greatest Common Factor
We found the factors and prime factorization of 9083 and 9089. The biggest common factor number is the GCF number.
So the greatest common factor 9083 and 9089 is 1.
Also check out the Least Common Multiple of 9083 and 9089
(i) The GCF of 9083 and 9089 is associative
GCF of 9083 and 9089 = GCF of 9089 and 9083
1. What is the GCF of 9083 and 9089?
Answer: GCF of 9083 and 9089 is 1.
2. What are the Factors of 9083?
Answer: Factors of 9083 are 1, 31, 293, 9083. There are 4 integers that are factors of 9083. The greatest factor of 9083 is 9083.
3. What are the Factors of 9089?
Answer: Factors of 9089 are 1, 61, 149, 9089. There are 4 integers that are factors of 9089. The greatest factor of 9089 is 9089.
4. How to Find the GCF of 9083 and 9089?
Answer:
Greatest Common Factor of 9083 and 9089 = 1
Step 1: Find the prime factorization of 9083
9083 = 31 x 293
Step 2: Find the prime factorization of 9089
9089 = 61 x 149
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 9083 and 9089 is 1