What is the Greatest Common Factor of 1845 and 1850?

Greatest common factor (GCF) of 1845 and 1850 is 5.

GCF(1845,1850) = 5

We will now calculate the prime factors of 1845 and 1850, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1845 and 1850.

How to find the GCF of 1845 and 1850?

We will first find the prime factorization of 1845 and 1850. After we will calculate the factors of 1845 and 1850 and find the biggest common factor number .

Step-1: Prime Factorization of 1845

Prime factors of 1845 are 3, 5, 41. Prime factorization of 1845 in exponential form is:

1845 = 3² × 5¹ × 41¹

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 1845

List of positive integer factors of 1845 that divides 1845 without a remainder.

1, 3, 5, 9, 15, 41, 45, 123, 205, 369, 615

Step-4: Factors of 1850

List of positive integer factors of 1850 that divides 1845 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 1845 and 1850. The biggest common factor number is the GCF number.
So the greatest common factor 1845 and 1850 is 5.

Also check out the Least Common Multiple of 1845 and 1850