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 1830, 1835 i.e. 5 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1830 and 1835 is 5.
GCF(1830,1835) = 5
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 1835
5 | 1835 |
367 | 367 |
1 |
Prime factors of 1835 are 5,367. Prime factorization of 1835 in exponential form is:
1835 = 51×3671
∴ So by taking common prime factors GCF of 1830 and 1835 is 5
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
Factors of 1835
List of positive integer factors of 1835 that divides 1835 without a remainder.
1,5,367,1835
Greatest Common Factor
We found the factors and prime factorization of 1830 and 1835. The biggest common factor number is the GCF number.
So the greatest common factor 1830 and 1835 is 5.
Also check out the Least Common Multiple of 1830 and 1835
(i) The GCF of 1830 and 1835 is associative
GCF of 1830 and 1835 = GCF of 1835 and 1830
1. What is the GCF of 1830 and 1835?
Answer: GCF of 1830 and 1835 is 5.
2. 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.
3. What are the Factors of 1835?
Answer: Factors of 1835 are 1, 5, 367, 1835. There are 4 integers that are factors of 1835. The greatest factor of 1835 is 1835.
4. How to Find the GCF of 1830 and 1835?
Answer:
Greatest Common Factor of 1830 and 1835 = 5
Step 1: Find the prime factorization of 1830
1830 = 2 x 3 x 5 x 61
Step 2: Find the prime factorization of 1835
1835 = 5 x 367
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 1830 and 1835 is 5