What is the Greatest Common Factor of 40222 and 40230?

Greatest common factor (GCF) of 40222 and 40230 is 2.

GCF(40222,40230) = 2

We will now calculate the prime factors of 40222 and 40230, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40222 and 40230.

How to find the GCF of 40222 and 40230?

We will first find the prime factorization of 40222 and 40230. After we will calculate the factors of 40222 and 40230 and find the biggest common factor number .

Step-1: Prime Factorization of 40222

Prime factors of 40222 are 2, 7, 13, 17. Prime factorization of 40222 in exponential form is:

40222 = 2¹ × 7¹ × 13² × 17¹

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 40222

List of positive integer factors of 40222 that divides 40222 without a remainder.

1, 2, 7, 13, 14, 17, 26, 34, 91, 119, 169, 182, 221, 238, 338, 442, 1183, 1547, 2366, 2873, 3094, 5746, 20111

Step-4: Factors of 40230

List of positive integer factors of 40230 that divides 40222 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 40222 and 40230. The biggest common factor number is the GCF number.
So the greatest common factor 40222 and 40230 is 2.

Also check out the Least Common Multiple of 40222 and 40230