What is the Greatest Common Factor of 1830 and 1842?

Greatest common factor (GCF) of 1830 and 1842 is 6.

GCF(1830,1842) = 6

We will now calculate the prime factors of 1830 and 1842, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1830 and 1842.

How to find the GCF of 1830 and 1842?

We will first find the prime factorization of 1830 and 1842. After we will calculate the factors of 1830 and 1842 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 1842

Prime factors of 1842 are 2, 3, 307. Prime factorization of 1842 in exponential form is:

1842 = 2¹ × 3¹ × 307¹

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 1842

List of positive integer factors of 1842 that divides 1830 without a remainder.

1, 2, 3, 6, 307, 614, 921

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1830 and 1842. The biggest common factor number is the GCF number.
So the greatest common factor 1830 and 1842 is 6.

Also check out the Least Common Multiple of 1830 and 1842