Greatest Common Factor of 2010 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 2010, 2015 i.e. 5 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2010 and 2015 is 5.
GCF(2010,2015) = 5
GCF of 2010 and 2015
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
- Greatest Common Factor of 2010 and 2015 by prime factorization method
- Greatest Common Factor of 2010 and 2015 by matching factors method
GCF of 2010 and 2015 is 5
Prime Factorization of 2010
| 2 | 2010 |
| 3 | 1005 |
| 5 | 335 |
| 67 | 67 |
| 1 |
Prime factors of 2010 are 2,3,5,67. Prime factorization of 2010 in exponential form is:
2010 = 21×31×51×671
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 2010 and 2015 is 5
Greatest Common Factor of 2010 and 2015 by matching factors method
Factors of 2010
List of positive integer factors of 2010 that divides 2010 without a remainder.
1,2,3,5,6,10,15,30,67,134,201,335,402,670,1005,2010
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 2010 and 2015. The biggest common factor number is the GCF number.
So the greatest common factor 2010 and 2015 is 5.
Also check out the Least Common Multiple of 2010 and 2015
Properties of GCF 2010 and 2015
(i) The GCF of 2010 and 2015 is associative
GCF of 2010 and 2015 = GCF of 2015 and 2010
Related Greatest Common Factor of 2010
Related Greatest Common Factor of 2015
Frequently Asked Questions on GCF of 2010 and 2015
1. What is the GCF of 2010 and 2015?
Answer: GCF of 2010 and 2015 is 5.
2. What are the Factors of 2010?
Answer: Factors of 2010 are 1, 2, 3, 5, 6, 10, 15, 30, 67, 134, 201, 335, 402, 670, 1005, 2010. There are 16 integers that are factors of 2010. The greatest factor of 2010 is 2010.
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 2010 and 2015?
Answer:
Greatest Common Factor of 2010 and 2015 = 5
Step 1: Find the prime factorization of 2010
2010 = 2 x 3 x 5 x 67
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 = 5
Step 4: Therefore, the greatest common factor of 2010 and 2015 is 5