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, 1837 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1830 and 1837 is 1.
GCF(1830,1837) = 1
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 1837
11 | 1837 |
167 | 167 |
1 |
Prime factors of 1837 are 11,167. Prime factorization of 1837 in exponential form is:
1837 = 111×1671
∴ So by taking common prime factors GCF of 1830 and 1837 is 1
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 1837
List of positive integer factors of 1837 that divides 1837 without a remainder.
1,11,167,1837
Greatest Common Factor
We found the factors and prime factorization of 1830 and 1837. The biggest common factor number is the GCF number.
So the greatest common factor 1830 and 1837 is 1.
Also check out the Least Common Multiple of 1830 and 1837
(i) The GCF of 1830 and 1837 is associative
GCF of 1830 and 1837 = GCF of 1837 and 1830
1. What is the GCF of 1830 and 1837?
Answer: GCF of 1830 and 1837 is 1.
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 1837?
Answer: Factors of 1837 are 1, 11, 167, 1837. There are 4 integers that are factors of 1837. The greatest factor of 1837 is 1837.
4. How to Find the GCF of 1830 and 1837?
Answer:
Greatest Common Factor of 1830 and 1837 = 1
Step 1: Find the prime factorization of 1830
1830 = 2 x 3 x 5 x 61
Step 2: Find the prime factorization of 1837
1837 = 11 x 167
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = = 1
Step 4: Therefore, the greatest common factor of 1830 and 1837 is 1