What is the Greatest Common Factor of 1830 and 1850?

Greatest common factor (GCF) of 1830 and 1850 is 10.

GCF(1830,1850) = 10

We will now calculate the prime factors of 1830 and 1850, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1830 and 1850.

How to find the GCF of 1830 and 1850?

We will first find the prime factorization of 1830 and 1850. After we will calculate the factors of 1830 and 1850 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 1850

Prime factors of 1850 are 2, 5, 37. Prime factorization of 1850 in exponential form is:

1850 = 2¹ × 5² × 37¹

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 1850

List of positive integer factors of 1850 that divides 1830 without a remainder.

1, 2, 5, 10, 25, 37, 50, 74, 185, 370, 925

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1830 and 1850. The biggest common factor number is the GCF number.
So the greatest common factor 1830 and 1850 is 10.

Also check out the Least Common Multiple of 1830 and 1850