Greatest Common Factor of 2013 and 2019
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 2013, 2019 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2013 and 2019 is 3.
GCF(2013,2019) = 3
GCF of 2013 and 2019
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
- Greatest Common Factor of 2013 and 2019 by prime factorization method
- Greatest Common Factor of 2013 and 2019 by matching factors method
GCF of 2013 and 2019 is 3
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
Prime Factorization of 2019
| 3 | 2019 |
| 673 | 673 |
| 1 |
Prime factors of 2019 are 3,673. Prime factorization of 2019 in exponential form is:
2019 = 31×6731
∴ So by taking common prime factors GCF of 2013 and 2019 is 3
Greatest Common Factor of 2013 and 2019 by matching factors method
Factors of 2013
List of positive integer factors of 2013 that divides 2013 without a remainder.
1,3,11,33,61,183,671,2013
Factors of 2019
List of positive integer factors of 2019 that divides 2019 without a remainder.
1,3,673,2019
Greatest Common Factor
We found the factors and prime factorization of 2013 and 2019. The biggest common factor number is the GCF number.
So the greatest common factor 2013 and 2019 is 3.
Also check out the Least Common Multiple of 2013 and 2019
Properties of GCF 2013 and 2019
(i) The GCF of 2013 and 2019 is associative
GCF of 2013 and 2019 = GCF of 2019 and 2013
Related Greatest Common Factor of 2013
Related Greatest Common Factor of 2019
Frequently Asked Questions on GCF of 2013 and 2019
1. What is the GCF of 2013 and 2019?
Answer: GCF of 2013 and 2019 is 3.
2. 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.
3. What are the Factors of 2019?
Answer: Factors of 2019 are 1, 3, 673, 2019. There are 4 integers that are factors of 2019. The greatest factor of 2019 is 2019.
4. How to Find the GCF of 2013 and 2019?
Answer:
Greatest Common Factor of 2013 and 2019 = 3
Step 1: Find the prime factorization of 2013
2013 = 3 x 11 x 61
Step 2: Find the prime factorization of 2019
2019 = 3 x 673
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 2013 and 2019 is 3