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 9015, 9019 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9015 and 9019 is 1.
GCF(9015,9019) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9015
3 | 9015 |
5 | 3005 |
601 | 601 |
1 |
Prime factors of 9015 are 3,5,601. Prime factorization of 9015 in exponential form is:
9015 = 31×51×6011
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
∴ So by taking common prime factors GCF of 9015 and 9019 is 1
Factors of 9015
List of positive integer factors of 9015 that divides 9015 without a remainder.
1,3,5,15,601,1803,3005,9015
Factors of 9019
List of positive integer factors of 9019 that divides 9019 without a remainder.
1,29,311,9019
Greatest Common Factor
We found the factors and prime factorization of 9015 and 9019. The biggest common factor number is the GCF number.
So the greatest common factor 9015 and 9019 is 1.
Also check out the Least Common Multiple of 9015 and 9019
(i) The GCF of 9015 and 9019 is associative
GCF of 9015 and 9019 = GCF of 9019 and 9015
1. What is the GCF of 9015 and 9019?
Answer: GCF of 9015 and 9019 is 1.
2. What are the Factors of 9015?
Answer: Factors of 9015 are 1, 3, 5, 15, 601, 1803, 3005, 9015. There are 8 integers that are factors of 9015. The greatest factor of 9015 is 9015.
3. 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.
4. How to Find the GCF of 9015 and 9019?
Answer:
Greatest Common Factor of 9015 and 9019 = 1
Step 1: Find the prime factorization of 9015
9015 = 3 x 5 x 601
Step 2: Find the prime factorization of 9019
9019 = 29 x 311
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 9015 and 9019 is 1