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 9016, 9017 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9016 and 9017 is 1.
GCF(9016,9017) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9016
2 | 9016 |
2 | 4508 |
2 | 2254 |
7 | 1127 |
7 | 161 |
23 | 23 |
1 |
Prime factors of 9016 are 2,7,23. Prime factorization of 9016 in exponential form is:
9016 = 23×72×231
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
∴ So by taking common prime factors GCF of 9016 and 9017 is 1
Factors of 9016
List of positive integer factors of 9016 that divides 9016 without a remainder.
1,2,4,7,8,14,23,28,46,49,56,92,98,161,184,196,322,392,644,1127,1288,2254,4508,9016
Factors of 9017
List of positive integer factors of 9017 that divides 9017 without a remainder.
1,71,127,9017
Greatest Common Factor
We found the factors and prime factorization of 9016 and 9017. The biggest common factor number is the GCF number.
So the greatest common factor 9016 and 9017 is 1.
Also check out the Least Common Multiple of 9016 and 9017
(i) The GCF of 9016 and 9017 is associative
GCF of 9016 and 9017 = GCF of 9017 and 9016
1. What is the GCF of 9016 and 9017?
Answer: GCF of 9016 and 9017 is 1.
2. What are the Factors of 9016?
Answer: Factors of 9016 are 1, 2, 4, 7, 8, 14, 23, 28, 46, 49, 56, 92, 98, 161, 184, 196, 322, 392, 644, 1127, 1288, 2254, 4508, 9016. There are 24 integers that are factors of 9016. The greatest factor of 9016 is 9016.
3. 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.
4. How to Find the GCF of 9016 and 9017?
Answer:
Greatest Common Factor of 9016 and 9017 = 1
Step 1: Find the prime factorization of 9016
9016 = 2 x 2 x 2 x 7 x 7 x 23
Step 2: Find the prime factorization of 9017
9017 = 71 x 127
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 9016 and 9017 is 1