What is the Greatest Common Factor of 40221 and 40230?

Greatest common factor (GCF) of 40221 and 40230 is 9.

GCF(40221,40230) = 9

We will now calculate the prime factors of 40221 and 40230, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40221 and 40230.

How to find the GCF of 40221 and 40230?

We will first find the prime factorization of 40221 and 40230. After we will calculate the factors of 40221 and 40230 and find the biggest common factor number .

Step-1: Prime Factorization of 40221

Prime factors of 40221 are 3, 41, 109. Prime factorization of 40221 in exponential form is:

40221 = 3² × 41¹ × 109¹

Step-2: Prime Factorization of 40230

Prime factors of 40230 are 2, 3, 5, 149. Prime factorization of 40230 in exponential form is:

40230 = 2¹ × 3³ × 5¹ × 149¹

Step-3: Factors of 40221

List of positive integer factors of 40221 that divides 40221 without a remainder.

1, 3, 9, 41, 109, 123, 327, 369, 981, 4469, 13407

Step-4: Factors of 40230

List of positive integer factors of 40230 that divides 40221 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 149, 270, 298, 447, 745, 894, 1341, 1490, 2235, 2682, 4023, 4470, 6705, 8046, 13410, 20115

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40221 and 40230. The biggest common factor number is the GCF number.
So the greatest common factor 40221 and 40230 is 9.

Also check out the Least Common Multiple of 40221 and 40230