Greatest Common Factor of 2019 and 2025
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 2019, 2025 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2019 and 2025 is 3.
GCF(2019,2025) = 3
GCF of 2019 and 2025
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
- Greatest Common Factor of 2019 and 2025 by prime factorization method
- Greatest Common Factor of 2019 and 2025 by matching factors method
GCF of 2019 and 2025 is 3
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
Prime Factorization of 2025
| 3 | 2025 |
| 3 | 675 |
| 3 | 225 |
| 3 | 75 |
| 5 | 25 |
| 5 | 5 |
| 1 |
Prime factors of 2025 are 3,5. Prime factorization of 2025 in exponential form is:
2025 = 34×52
∴ So by taking common prime factors GCF of 2019 and 2025 is 3
Greatest Common Factor of 2019 and 2025 by matching factors method
Factors of 2019
List of positive integer factors of 2019 that divides 2019 without a remainder.
1,3,673,2019
Factors of 2025
List of positive integer factors of 2025 that divides 2025 without a remainder.
1,3,5,9,15,25,27,45,75,81,135,225,405,675,2025
Greatest Common Factor
We found the factors and prime factorization of 2019 and 2025. The biggest common factor number is the GCF number.
So the greatest common factor 2019 and 2025 is 3.
Also check out the Least Common Multiple of 2019 and 2025
Properties of GCF 2019 and 2025
(i) The GCF of 2019 and 2025 is associative
GCF of 2019 and 2025 = GCF of 2025 and 2019
Related Greatest Common Factor of 2019
Related Greatest Common Factor of 2025
Frequently Asked Questions on GCF of 2019 and 2025
1. What is the GCF of 2019 and 2025?
Answer: GCF of 2019 and 2025 is 3.
2. 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.
3. What are the Factors of 2025?
Answer: Factors of 2025 are 1, 3, 5, 9, 15, 25, 27, 45, 75, 81, 135, 225, 405, 675, 2025. There are 15 integers that are factors of 2025. The greatest factor of 2025 is 2025.
4. How to Find the GCF of 2019 and 2025?
Answer:
Greatest Common Factor of 2019 and 2025 = 3
Step 1: Find the prime factorization of 2019
2019 = 3 x 673
Step 2: Find the prime factorization of 2025
2025 = 3 x 3 x 3 x 3 x 5 x 5
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 2019 and 2025 is 3