What is the Greatest Common Factor of 18444 and 18450?

Greatest common factor (GCF) of 18444 and 18450 is 6.

GCF(18444,18450) = 6

We will now calculate the prime factors of 18444 and 18450, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18444 and 18450.

How to find the GCF of 18444 and 18450?

We will first find the prime factorization of 18444 and 18450. After we will calculate the factors of 18444 and 18450 and find the biggest common factor number .

Step-1: Prime Factorization of 18444

Prime factors of 18444 are 2, 3, 29, 53. Prime factorization of 18444 in exponential form is:

18444 = 2² × 3¹ × 29¹ × 53¹

Step-2: Prime Factorization of 18450

Prime factors of 18450 are 2, 3, 5, 41. Prime factorization of 18450 in exponential form is:

18450 = 2¹ × 3² × 5² × 41¹

Step-3: Factors of 18444

List of positive integer factors of 18444 that divides 18444 without a remainder.

1, 2, 3, 4, 6, 12, 29, 53, 58, 87, 106, 116, 159, 174, 212, 318, 348, 636, 1537, 3074, 4611, 6148, 9222

Step-4: Factors of 18450

List of positive integer factors of 18450 that divides 18444 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 41, 45, 50, 75, 82, 90, 123, 150, 205, 225, 246, 369, 410, 450, 615, 738, 1025, 1230, 1845, 2050, 3075, 3690, 6150, 9225

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18444 and 18450. The biggest common factor number is the GCF number.
So the greatest common factor 18444 and 18450 is 6.

Also check out the Least Common Multiple of 18444 and 18450