What is the Greatest Common Factor of 1830 and 1844?

Greatest common factor (GCF) of 1830 and 1844 is 2.

GCF(1830,1844) = 2

We will now calculate the prime factors of 1830 and 1844, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1830 and 1844.

How to find the GCF of 1830 and 1844?

We will first find the prime factorization of 1830 and 1844. After we will calculate the factors of 1830 and 1844 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 1844

Prime factors of 1844 are 2, 461. Prime factorization of 1844 in exponential form is:

1844 = 2² × 461¹

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 1844

List of positive integer factors of 1844 that divides 1830 without a remainder.

1, 2, 4, 461, 922

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1830 and 1844. The biggest common factor number is the GCF number.
So the greatest common factor 1830 and 1844 is 2.

Also check out the Least Common Multiple of 1830 and 1844