Greatest Common Factor of 2017 and 2023
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 2017, 2023 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2017 and 2023 is 1.
GCF(2017,2023) = 1
GCF of 2017 and 2023
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
- Greatest Common Factor of 2017 and 2023 by prime factorization method
- Greatest Common Factor of 2017 and 2023 by matching factors method
GCF of 2017 and 2023 is 1
Prime Factorization of 2017
| 2017 | 2017 |
| 1 |
Prime factors of 2017 are 2017. Prime factorization of 2017 in exponential form is:
2017 = 20171
Prime Factorization of 2023
| 7 | 2023 |
| 17 | 289 |
| 17 | 17 |
| 1 |
Prime factors of 2023 are 7.Prime factorization of 2023 in exponential form is:
2023 = 71×172
∴ So by taking common prime factors GCF of 2017 and 2023 is 1
Greatest Common Factor of 2017 and 2023 by matching factors method
Factors of 2017
List of positive integer factors of 2017 that divides 2017 without a remainder.
1,2017
Factors of 2023
List of positive integer factors of 2023 that divides 2023 without a remainder.
1,7,17,119,289,2023
Greatest Common Factor
We found the factors and prime factorization of 2017 and 2023. The biggest common factor number is the GCF number.
So the greatest common factor 2017 and 2023 is 1.
Also check out the Least Common Multiple of 2017 and 2023
Properties of GCF 2017 and 2023
(i) The GCF of 2017 and 2023 is associative
GCF of 2017 and 2023 = GCF of 2023 and 2017
Related Greatest Common Factor of 2017
Related Greatest Common Factor of 2023
Frequently Asked Questions on GCF of 2017 and 2023
1. What is the GCF of 2017 and 2023?
Answer: GCF of 2017 and 2023 is 1.
2. 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.
3. What are the Factors of 2023?
Answer: Factors of 2023 are 1, 7, 17, 119, 289, 2023. There are 6 integers that are factors of 2023. The greatest factor of 2023 is 2023.
4. How to Find the GCF of 2017 and 2023?
Answer:
Greatest Common Factor of 2017 and 2023 = 1
Step 1: Find the prime factorization of 2017
2017 = 2017
Step 2: Find the prime factorization of 2023
2023 = 7 x 17 x 17
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 2017 and 2023 is 1