What is the Greatest Common Factor of 1830 and 1834?
Greatest common factor (GCF) of 1830 and 1834 is 2.
GCF(1830,1834) = 2
We will now calculate the prime factors of 1830 and 1834, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1830 and 1834.
How to find the GCF of 1830 and 1834?
We will first find the prime factorization of 1830 and 1834. After we will calculate the factors of 1830 and 1834 and find the biggest common factor number .
Step-1: Prime Factorization of 1830
Prime factors of 1830 are 2, 3, 5, 61. Prime factorization of 1830 in exponential form is:
1830 = 21 × 31 × 51 × 611
Step-2: Prime Factorization of 1834
Prime factors of 1834 are 2, 7, 131. Prime factorization of 1834 in exponential form is:
1834 = 21 × 71 × 1311
Step-3: 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
Step-4: Factors of 1834
List of positive integer factors of 1834 that divides 1830 without a remainder.
1, 2, 7, 14, 131, 262, 917
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 1830 and 1834. The biggest common factor number is the GCF number.
So the greatest common factor 1830 and 1834 is 2.
Also check out the Least Common Multiple of 1830 and 1834
Related Greatest Common Factors of 1830
- GCF of 1830 and 1834
- GCF of 1830 and 1835
- GCF of 1830 and 1836
- GCF of 1830 and 1837
- GCF of 1830 and 1838
- GCF of 1830 and 1839
- GCF of 1830 and 1840
- GCF of 1830 and 1841
- GCF of 1830 and 1842
- GCF of 1830 and 1843
- GCF of 1830 and 1844
- GCF of 1830 and 1845
- GCF of 1830 and 1846
- GCF of 1830 and 1847
- GCF of 1830 and 1848
- GCF of 1830 and 1849
- GCF of 1830 and 1850
Related Greatest Common Factors of 1834
- GCF of 1834 and 1838
- GCF of 1834 and 1839
- GCF of 1834 and 1840
- GCF of 1834 and 1841
- GCF of 1834 and 1842
- GCF of 1834 and 1843
- GCF of 1834 and 1844
- GCF of 1834 and 1845
- GCF of 1834 and 1846
- GCF of 1834 and 1847
- GCF of 1834 and 1848
- GCF of 1834 and 1849
- GCF of 1834 and 1850
- GCF of 1834 and 1851
- GCF of 1834 and 1852
- GCF of 1834 and 1853
- GCF of 1834 and 1854