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 1825, 1830 i.e. 5 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1825 and 1830 is 5.
GCF(1825,1830) = 5
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1825
5 | 1825 |
5 | 365 |
73 | 73 |
1 |
Prime factors of 1825 are 5,73. Prime factorization of 1825 in exponential form is:
1825 = 52×731
Prime Factorization of 1830
2 | 1830 |
3 | 915 |
5 | 305 |
61 | 61 |
1 |
Prime factors of 1830 are 2,3,5,61. Prime factorization of 1830 in exponential form is:
1830 = 21×31×51×611
∴ So by taking common prime factors GCF of 1825 and 1830 is 5
Factors of 1825
List of positive integer factors of 1825 that divides 1825 without a remainder.
1,5,25,73,365,1825
Factors of 1830
List of positive integer factors of 1830 that divides 1830 without a remainder.
1,2,3,5,6,10,15,30,61,122,183,305,366,610,915,1830
Greatest Common Factor
We found the factors and prime factorization of 1825 and 1830. The biggest common factor number is the GCF number.
So the greatest common factor 1825 and 1830 is 5.
Also check out the Least Common Multiple of 1825 and 1830
(i) The GCF of 1825 and 1830 is associative
GCF of 1825 and 1830 = GCF of 1830 and 1825
1. What is the GCF of 1825 and 1830?
Answer: GCF of 1825 and 1830 is 5.
2. What are the Factors of 1825?
Answer: Factors of 1825 are 1, 5, 25, 73, 365, 1825. There are 6 integers that are factors of 1825. The greatest factor of 1825 is 1825.
3. What are the Factors of 1830?
Answer: Factors of 1830 are 1, 2, 3, 5, 6, 10, 15, 30, 61, 122, 183, 305, 366, 610, 915, 1830. There are 16 integers that are factors of 1830. The greatest factor of 1830 is 1830.
4. How to Find the GCF of 1825 and 1830?
Answer:
Greatest Common Factor of 1825 and 1830 = 5
Step 1: Find the prime factorization of 1825
1825 = 5 x 5 x 73
Step 2: Find the prime factorization of 1830
1830 = 2 x 3 x 5 x 61
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 1825 and 1830 is 5