What is the Greatest Common Factor of 40220 and 40230?

Greatest common factor (GCF) of 40220 and 40230 is 10.

GCF(40220,40230) = 10

We will now calculate the prime factors of 40220 and 40230, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40220 and 40230.

How to find the GCF of 40220 and 40230?

We will first find the prime factorization of 40220 and 40230. After we will calculate the factors of 40220 and 40230 and find the biggest common factor number .

Step-1: Prime Factorization of 40220

Prime factors of 40220 are 2, 5, 2011. Prime factorization of 40220 in exponential form is:

40220 = 2² × 5¹ × 2011¹

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 40220

List of positive integer factors of 40220 that divides 40220 without a remainder.

1, 2, 4, 5, 10, 20, 2011, 4022, 8044, 10055, 20110

Step-4: Factors of 40230

List of positive integer factors of 40230 that divides 40220 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 40220 and 40230. The biggest common factor number is the GCF number.
So the greatest common factor 40220 and 40230 is 10.

Also check out the Least Common Multiple of 40220 and 40230