Greatest Common Factor of 2010 and 2013
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, 2013 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2010 and 2013 is 3.
GCF(2010,2013) = 3
GCF of 2010 and 2013
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
- Greatest Common Factor of 2010 and 2013 by prime factorization method
- Greatest Common Factor of 2010 and 2013 by matching factors method
GCF of 2010 and 2013 is 3
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 2013
| 3 | 2013 |
| 11 | 671 |
| 61 | 61 |
| 1 |
Prime factors of 2013 are 3,11,61. Prime factorization of 2013 in exponential form is:
2013 = 31×111×611
∴ So by taking common prime factors GCF of 2010 and 2013 is 3
Greatest Common Factor of 2010 and 2013 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 2013
List of positive integer factors of 2013 that divides 2013 without a remainder.
1,3,11,33,61,183,671,2013
Greatest Common Factor
We found the factors and prime factorization of 2010 and 2013. The biggest common factor number is the GCF number.
So the greatest common factor 2010 and 2013 is 3.
Also check out the Least Common Multiple of 2010 and 2013
Properties of GCF 2010 and 2013
(i) The GCF of 2010 and 2013 is associative
GCF of 2010 and 2013 = GCF of 2013 and 2010
Related Greatest Common Factor of 2010
Related Greatest Common Factor of 2013
Frequently Asked Questions on GCF of 2010 and 2013
1. What is the GCF of 2010 and 2013?
Answer: GCF of 2010 and 2013 is 3.
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 2013?
Answer: Factors of 2013 are 1, 3, 11, 33, 61, 183, 671, 2013. There are 8 integers that are factors of 2013. The greatest factor of 2013 is 2013.
4. How to Find the GCF of 2010 and 2013?
Answer:
Greatest Common Factor of 2010 and 2013 = 3
Step 1: Find the prime factorization of 2010
2010 = 2 x 3 x 5 x 67
Step 2: Find the prime factorization of 2013
2013 = 3 x 11 x 61
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 3
Step 4: Therefore, the greatest common factor of 2010 and 2013 is 3