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 1826, 1830 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1826 and 1830 is 2.
GCF(1826,1830) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1826
2 | 1826 |
11 | 913 |
83 | 83 |
1 |
Prime factors of 1826 are 2,11,83. Prime factorization of 1826 in exponential form is:
1826 = 21×111×831
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 1826 and 1830 is 2
Factors of 1826
List of positive integer factors of 1826 that divides 1826 without a remainder.
1,2,11,22,83,166,913,1826
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 1826 and 1830. The biggest common factor number is the GCF number.
So the greatest common factor 1826 and 1830 is 2.
Also check out the Least Common Multiple of 1826 and 1830
(i) The GCF of 1826 and 1830 is associative
GCF of 1826 and 1830 = GCF of 1830 and 1826
1. What is the GCF of 1826 and 1830?
Answer: GCF of 1826 and 1830 is 2.
2. What are the Factors of 1826?
Answer: Factors of 1826 are 1, 2, 11, 22, 83, 166, 913, 1826. There are 8 integers that are factors of 1826. The greatest factor of 1826 is 1826.
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 1826 and 1830?
Answer:
Greatest Common Factor of 1826 and 1830 = 2
Step 1: Find the prime factorization of 1826
1826 = 2 x 11 x 83
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 = 2
Step 4: Therefore, the greatest common factor of 1826 and 1830 is 2