Greatest Common Factor of 2025 and 2030
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 2025, 2030 i.e. 5 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2025 and 2030 is 5.
GCF(2025,2030) = 5
GCF of 2025 and 2030
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
- Greatest Common Factor of 2025 and 2030 by prime factorization method
- Greatest Common Factor of 2025 and 2030 by matching factors method
GCF of 2025 and 2030 is 5
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
Prime Factorization of 2030
| 2 | 2030 |
| 5 | 1015 |
| 7 | 203 |
| 29 | 29 |
| 1 |
Prime factors of 2030 are 2,5,7,29. Prime factorization of 2030 in exponential form is:
2030 = 21×51×71×291
∴ So by taking common prime factors GCF of 2025 and 2030 is 5
Greatest Common Factor of 2025 and 2030 by matching factors method
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
Factors of 2030
List of positive integer factors of 2030 that divides 2030 without a remainder.
1,2,5,7,10,14,29,35,58,70,145,203,290,406,1015,2030
Greatest Common Factor
We found the factors and prime factorization of 2025 and 2030. The biggest common factor number is the GCF number.
So the greatest common factor 2025 and 2030 is 5.
Also check out the Least Common Multiple of 2025 and 2030
Properties of GCF 2025 and 2030
(i) The GCF of 2025 and 2030 is associative
GCF of 2025 and 2030 = GCF of 2030 and 2025
Related Greatest Common Factor of 2025
Related Greatest Common Factor of 2030
Frequently Asked Questions on GCF of 2025 and 2030
1. What is the GCF of 2025 and 2030?
Answer: GCF of 2025 and 2030 is 5.
2. 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.
3. What are the Factors of 2030?
Answer: Factors of 2030 are 1, 2, 5, 7, 10, 14, 29, 35, 58, 70, 145, 203, 290, 406, 1015, 2030. There are 16 integers that are factors of 2030. The greatest factor of 2030 is 2030.
4. How to Find the GCF of 2025 and 2030?
Answer:
Greatest Common Factor of 2025 and 2030 = 5
Step 1: Find the prime factorization of 2025
2025 = 3 x 3 x 3 x 3 x 5 x 5
Step 2: Find the prime factorization of 2030
2030 = 2 x 5 x 7 x 29
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 2025 and 2030 is 5
