Greatest Common Factor of 2017 and 2022
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, 2022 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2017 and 2022 is 1.
GCF(2017,2022) = 1
GCF of 2017 and 2022
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
- Greatest Common Factor of 2017 and 2022 by prime factorization method
- Greatest Common Factor of 2017 and 2022 by matching factors method
GCF of 2017 and 2022 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 2022
| 2 | 2022 |
| 3 | 1011 |
| 337 | 337 |
| 1 |
Prime factors of 2022 are 2.Prime factorization of 2022 in exponential form is:
2022 = 21×31×3371
∴ So by taking common prime factors GCF of 2017 and 2022 is 1
Greatest Common Factor of 2017 and 2022 by matching factors method
Factors of 2017
List of positive integer factors of 2017 that divides 2017 without a remainder.
1,2017
Factors of 2022
List of positive integer factors of 2022 that divides 2022 without a remainder.
1,2,3,6,337,674,1011,2022
Greatest Common Factor
We found the factors and prime factorization of 2017 and 2022. The biggest common factor number is the GCF number.
So the greatest common factor 2017 and 2022 is 1.
Also check out the Least Common Multiple of 2017 and 2022
Properties of GCF 2017 and 2022
(i) The GCF of 2017 and 2022 is associative
GCF of 2017 and 2022 = GCF of 2022 and 2017
Related Greatest Common Factor of 2017
Related Greatest Common Factor of 2022
Frequently Asked Questions on GCF of 2017 and 2022
1. What is the GCF of 2017 and 2022?
Answer: GCF of 2017 and 2022 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 2022?
Answer: Factors of 2022 are 1, 2, 3, 6, 337, 674, 1011, 2022. There are 8 integers that are factors of 2022. The greatest factor of 2022 is 2022.
4. How to Find the GCF of 2017 and 2022?
Answer:
Greatest Common Factor of 2017 and 2022 = 1
Step 1: Find the prime factorization of 2017
2017 = 2017
Step 2: Find the prime factorization of 2022
2022 = 2 x 3 x 337
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 2022 is 1