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 9019, 9023 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9019 and 9023 is 1.
GCF(9019,9023) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9019
29 | 9019 |
311 | 311 |
1 |
Prime factors of 9019 are 29,311. Prime factorization of 9019 in exponential form is:
9019 = 291×3111
Prime Factorization of 9023
7 | 9023 |
1289 | 1289 |
1 |
Prime factors of 9023 are 7,1289. Prime factorization of 9023 in exponential form is:
9023 = 71×12891
∴ So by taking common prime factors GCF of 9019 and 9023 is 1
Factors of 9019
List of positive integer factors of 9019 that divides 9019 without a remainder.
1,29,311,9019
Factors of 9023
List of positive integer factors of 9023 that divides 9023 without a remainder.
1,7,1289,9023
Greatest Common Factor
We found the factors and prime factorization of 9019 and 9023. The biggest common factor number is the GCF number.
So the greatest common factor 9019 and 9023 is 1.
Also check out the Least Common Multiple of 9019 and 9023
(i) The GCF of 9019 and 9023 is associative
GCF of 9019 and 9023 = GCF of 9023 and 9019
1. What is the GCF of 9019 and 9023?
Answer: GCF of 9019 and 9023 is 1.
2. What are the Factors of 9019?
Answer: Factors of 9019 are 1, 29, 311, 9019. There are 4 integers that are factors of 9019. The greatest factor of 9019 is 9019.
3. What are the Factors of 9023?
Answer: Factors of 9023 are 1, 7, 1289, 9023. There are 4 integers that are factors of 9023. The greatest factor of 9023 is 9023.
4. How to Find the GCF of 9019 and 9023?
Answer:
Greatest Common Factor of 9019 and 9023 = 1
Step 1: Find the prime factorization of 9019
9019 = 29 x 311
Step 2: Find the prime factorization of 9023
9023 = 7 x 1289
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 9019 and 9023 is 1