Greatest Common Factor of 2015 and 2018
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 2015, 2018 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2015 and 2018 is 1.
GCF(2015,2018) = 1
GCF of 2015 and 2018
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
- Greatest Common Factor of 2015 and 2018 by prime factorization method
- Greatest Common Factor of 2015 and 2018 by matching factors method
GCF of 2015 and 2018 is 1
Prime Factorization of 2015
| 5 | 2015 |
| 13 | 403 |
| 31 | 31 |
| 1 |
Prime factors of 2015 are 5,13,31. Prime factorization of 2015 in exponential form is:
2015 = 51×131×311
Prime Factorization of 2018
| 2 | 2018 |
| 1009 | 1009 |
| 1 |
Prime factors of 2018 are 2,1009. Prime factorization of 2018 in exponential form is:
2018 = 21×10091
∴ So by taking common prime factors GCF of 2015 and 2018 is 1
Greatest Common Factor of 2015 and 2018 by matching factors method
Factors of 2015
List of positive integer factors of 2015 that divides 2015 without a remainder.
1,5,13,31,65,155,403,2015
Factors of 2018
List of positive integer factors of 2018 that divides 2018 without a remainder.
1,2,1009,2018
Greatest Common Factor
We found the factors and prime factorization of 2015 and 2018. The biggest common factor number is the GCF number.
So the greatest common factor 2015 and 2018 is 1.
Also check out the Least Common Multiple of 2015 and 2018
Properties of GCF 2015 and 2018
(i) The GCF of 2015 and 2018 is associative
GCF of 2015 and 2018 = GCF of 2018 and 2015
Related Greatest Common Factor of 2015
Related Greatest Common Factor of 2018
Frequently Asked Questions on GCF of 2015 and 2018
1. What is the GCF of 2015 and 2018?
Answer: GCF of 2015 and 2018 is 1.
2. What are the Factors of 2015?
Answer: Factors of 2015 are 1, 5, 13, 31, 65, 155, 403, 2015. There are 8 integers that are factors of 2015. The greatest factor of 2015 is 2015.
3. What are the Factors of 2018?
Answer: Factors of 2018 are 1, 2, 1009, 2018. There are 4 integers that are factors of 2018. The greatest factor of 2018 is 2018.
4. How to Find the GCF of 2015 and 2018?
Answer:
Greatest Common Factor of 2015 and 2018 = 1
Step 1: Find the prime factorization of 2015
2015 = 5 x 13 x 31
Step 2: Find the prime factorization of 2018
2018 = 2 x 1009
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 2015 and 2018 is 1
