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 27009, 27017 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 27009 and 27017 is 1.
GCF(27009,27017) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 27009
3 | 27009 |
3 | 9003 |
3001 | 3001 |
1 |
Prime factors of 27009 are 3,3001. Prime factorization of 27009 in exponential form is:
27009 = 32×30011
Prime Factorization of 27017
27017 | 27017 |
1 |
Prime factors of 27017 are 27017. Prime factorization of 27017 in exponential form is:
27017 = 270171
∴ So by taking common prime factors GCF of 27009 and 27017 is 1
Factors of 27009
List of positive integer factors of 27009 that divides 27009 without a remainder.
1,3,9,3001,9003,27009
Factors of 27017
List of positive integer factors of 27017 that divides 27017 without a remainder.
1,27017
Greatest Common Factor
We found the factors and prime factorization of 27009 and 27017. The biggest common factor number is the GCF number.
So the greatest common factor 27009 and 27017 is 1.
Also check out the Least Common Multiple of 27009 and 27017
(i) The GCF of 27009 and 27017 is associative
GCF of 27009 and 27017 = GCF of 27017 and 27009
1. What is the GCF of 27009 and 27017?
Answer: GCF of 27009 and 27017 is 1.
2. What are the Factors of 27009?
Answer: Factors of 27009 are 1, 3, 9, 3001, 9003, 27009. There are 6 integers that are factors of 27009. The greatest factor of 27009 is 27009.
3. What are the Factors of 27017?
Answer: Factors of 27017 are 1, 27017. There are 2 integers that are factors of 27017. The greatest factor of 27017 is 27017.
4. How to Find the GCF of 27009 and 27017?
Answer:
Greatest Common Factor of 27009 and 27017 = 1
Step 1: Find the prime factorization of 27009
27009 = 3 x 3 x 3001
Step 2: Find the prime factorization of 27017
27017 = 27017
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 27009 and 27017 is 1