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 2016, 2017 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2016 and 2017 is 1.
GCF(2016,2017) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2016
2 | 2016 |
2 | 1008 |
2 | 504 |
2 | 252 |
2 | 126 |
3 | 63 |
3 | 21 |
7 | 7 |
1 |
Prime factors of 2016 are 2,3,7. Prime factorization of 2016 in exponential form is:
2016 = 25×32×71
Prime Factorization of 2017
2017 | 2017 |
1 |
Prime factors of 2017 are 2017. Prime factorization of 2017 in exponential form is:
2017 = 20171
∴ So by taking common prime factors GCF of 2016 and 2017 is 1
Factors of 2016
List of positive integer factors of 2016 that divides 2016 without a remainder.
1,2,3,4,6,7,8,9,12,14,16,18,21,24,28,32,36,42,48,56,63,72,84,96,112,126,144,168,224,252,288,336,504,672,1008,2016
Factors of 2017
List of positive integer factors of 2017 that divides 2017 without a remainder.
1,2017
Greatest Common Factor
We found the factors and prime factorization of 2016 and 2017. The biggest common factor number is the GCF number.
So the greatest common factor 2016 and 2017 is 1.
Also check out the Least Common Multiple of 2016 and 2017
(i) The GCF of 2016 and 2017 is associative
GCF of 2016 and 2017 = GCF of 2017 and 2016
1. What is the GCF of 2016 and 2017?
Answer: GCF of 2016 and 2017 is 1.
2. What are the Factors of 2016?
Answer: Factors of 2016 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 32, 36, 42, 48, 56, 63, 72, 84, 96, 112, 126, 144, 168, 224, 252, 288, 336, 504, 672, 1008, 2016. There are 36 integers that are factors of 2016. The greatest factor of 2016 is 2016.
3. What are the Factors of 2017?
Answer: Factors of 2017 are 1, 2017. There are 2 integers that are factors of 2017. The greatest factor of 2017 is 2017.
4. How to Find the GCF of 2016 and 2017?
Answer:
Greatest Common Factor of 2016 and 2017 = 1
Step 1: Find the prime factorization of 2016
2016 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 7
Step 2: Find the prime factorization of 2017
2017 = 2017
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 2016 and 2017 is 1