What is the Greatest Common Factor of 1845 and 1854?

Greatest common factor (GCF) of 1845 and 1854 is 9.

GCF(1845,1854) = 9

We will now calculate the prime factors of 1845 and 1854, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1845 and 1854.

How to find the GCF of 1845 and 1854?

We will first find the prime factorization of 1845 and 1854. After we will calculate the factors of 1845 and 1854 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 1854

Prime factors of 1854 are 2, 3, 103. Prime factorization of 1854 in exponential form is:

1854 = 2¹ × 3² × 103¹

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 1854

List of positive integer factors of 1854 that divides 1845 without a remainder.

1, 2, 3, 6, 9, 18, 103, 206, 309, 618, 927

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1845 and 1854. The biggest common factor number is the GCF number.
So the greatest common factor 1845 and 1854 is 9.

Also check out the Least Common Multiple of 1845 and 1854