What is the Greatest Common Factor of 30150 and 30166?

Greatest common factor (GCF) of 30150 and 30166 is 2.

GCF(30150,30166) = 2

We will now calculate the prime factors of 30150 and 30166, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30150 and 30166.

How to find the GCF of 30150 and 30166?

We will first find the prime factorization of 30150 and 30166. After we will calculate the factors of 30150 and 30166 and find the biggest common factor number .

Step-1: Prime Factorization of 30150

Prime factors of 30150 are 2, 3, 5, 67. Prime factorization of 30150 in exponential form is:

30150 = 2¹ × 3² × 5² × 67¹

Step-2: Prime Factorization of 30166

Prime factors of 30166 are 2, 15083. Prime factorization of 30166 in exponential form is:

30166 = 2¹ × 15083¹

Step-3: Factors of 30150

List of positive integer factors of 30150 that divides 30150 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 67, 75, 90, 134, 150, 201, 225, 335, 402, 450, 603, 670, 1005, 1206, 1675, 2010, 3015, 3350, 5025, 6030, 10050, 15075

Step-4: Factors of 30166

List of positive integer factors of 30166 that divides 30150 without a remainder.

1, 2, 15083

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30150 and 30166. The biggest common factor number is the GCF number.
So the greatest common factor 30150 and 30166 is 2.

Also check out the Least Common Multiple of 30150 and 30166