Greatest Common Factor of 2014 and 2015
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 2014, 2015 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2014 and 2015 is 1.
GCF(2014,2015) = 1
GCF of 2014 and 2015
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
- Greatest Common Factor of 2014 and 2015 by prime factorization method
- Greatest Common Factor of 2014 and 2015 by matching factors method
GCF of 2014 and 2015 is 1
Prime Factorization of 2014
| 2 | 2014 |
| 19 | 1007 |
| 53 | 53 |
| 1 |
Prime factors of 2014 are 2,19,53. Prime factorization of 2014 in exponential form is:
2014 = 21×191×531
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
∴ So by taking common prime factors GCF of 2014 and 2015 is 1
Greatest Common Factor of 2014 and 2015 by matching factors method
Factors of 2014
List of positive integer factors of 2014 that divides 2014 without a remainder.
1,2,19,38,53,106,1007,2014
Factors of 2015
List of positive integer factors of 2015 that divides 2015 without a remainder.
1,5,13,31,65,155,403,2015
Greatest Common Factor
We found the factors and prime factorization of 2014 and 2015. The biggest common factor number is the GCF number.
So the greatest common factor 2014 and 2015 is 1.
Also check out the Least Common Multiple of 2014 and 2015
Properties of GCF 2014 and 2015
(i) The GCF of 2014 and 2015 is associative
GCF of 2014 and 2015 = GCF of 2015 and 2014
Related Greatest Common Factor of 2014
Related Greatest Common Factor of 2015
Frequently Asked Questions on GCF of 2014 and 2015
1. What is the GCF of 2014 and 2015?
Answer: GCF of 2014 and 2015 is 1.
2. What are the Factors of 2014?
Answer: Factors of 2014 are 1, 2, 19, 38, 53, 106, 1007, 2014. There are 8 integers that are factors of 2014. The greatest factor of 2014 is 2014.
3. 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.
4. How to Find the GCF of 2014 and 2015?
Answer:
Greatest Common Factor of 2014 and 2015 = 1
Step 1: Find the prime factorization of 2014
2014 = 2 x 19 x 53
Step 2: Find the prime factorization of 2015
2015 = 5 x 13 x 31
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 2014 and 2015 is 1