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 9017, 9018 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9017 and 9018 is 1.
GCF(9017,9018) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9017
71 | 9017 |
127 | 127 |
1 |
Prime factors of 9017 are 71,127. Prime factorization of 9017 in exponential form is:
9017 = 711×1271
Prime Factorization of 9018
2 | 9018 |
3 | 4509 |
3 | 1503 |
3 | 501 |
167 | 167 |
1 |
Prime factors of 9018 are 2,3,167. Prime factorization of 9018 in exponential form is:
9018 = 21×33×1671
∴ So by taking common prime factors GCF of 9017 and 9018 is 1
Factors of 9017
List of positive integer factors of 9017 that divides 9017 without a remainder.
1,71,127,9017
Factors of 9018
List of positive integer factors of 9018 that divides 9018 without a remainder.
1,2,3,6,9,18,27,54,167,334,501,1002,1503,3006,4509,9018
Greatest Common Factor
We found the factors and prime factorization of 9017 and 9018. The biggest common factor number is the GCF number.
So the greatest common factor 9017 and 9018 is 1.
Also check out the Least Common Multiple of 9017 and 9018
(i) The GCF of 9017 and 9018 is associative
GCF of 9017 and 9018 = GCF of 9018 and 9017
1. What is the GCF of 9017 and 9018?
Answer: GCF of 9017 and 9018 is 1.
2. What are the Factors of 9017?
Answer: Factors of 9017 are 1, 71, 127, 9017. There are 4 integers that are factors of 9017. The greatest factor of 9017 is 9017.
3. What are the Factors of 9018?
Answer: Factors of 9018 are 1, 2, 3, 6, 9, 18, 27, 54, 167, 334, 501, 1002, 1503, 3006, 4509, 9018. There are 16 integers that are factors of 9018. The greatest factor of 9018 is 9018.
4. How to Find the GCF of 9017 and 9018?
Answer:
Greatest Common Factor of 9017 and 9018 = 1
Step 1: Find the prime factorization of 9017
9017 = 71 x 127
Step 2: Find the prime factorization of 9018
9018 = 2 x 3 x 3 x 3 x 167
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 9017 and 9018 is 1