What is the Greatest Common Factor of 30186 and 30201?

Greatest common factor (GCF) of 30186 and 30201 is 3.

GCF(30186,30201) = 3

We will now calculate the prime factors of 30186 and 30201, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30186 and 30201.

How to find the GCF of 30186 and 30201?

We will first find the prime factorization of 30186 and 30201. After we will calculate the factors of 30186 and 30201 and find the biggest common factor number .

Step-1: Prime Factorization of 30186

Prime factors of 30186 are 2, 3, 13, 43. Prime factorization of 30186 in exponential form is:

30186 = 2¹ × 3³ × 13¹ × 43¹

Step-2: Prime Factorization of 30201

Prime factors of 30201 are 3, 10067. Prime factorization of 30201 in exponential form is:

30201 = 3¹ × 10067¹

Step-3: Factors of 30186

List of positive integer factors of 30186 that divides 30186 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 43, 54, 78, 86, 117, 129, 234, 258, 351, 387, 559, 702, 774, 1118, 1161, 1677, 2322, 3354, 5031, 10062, 15093

Step-4: Factors of 30201

List of positive integer factors of 30201 that divides 30186 without a remainder.

1, 3, 10067

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30186 and 30201. The biggest common factor number is the GCF number.
So the greatest common factor 30186 and 30201 is 3.

Also check out the Least Common Multiple of 30186 and 30201