What is the Greatest Common Factor of 30150 and 30165?

Greatest common factor (GCF) of 30150 and 30165 is 15.

GCF(30150,30165) = 15

We will now calculate the prime factors of 30150 and 30165, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30150 and 30165.

How to find the GCF of 30150 and 30165?

We will first find the prime factorization of 30150 and 30165. After we will calculate the factors of 30150 and 30165 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 30165

Prime factors of 30165 are 3, 5, 2011. Prime factorization of 30165 in exponential form is:

30165 = 3¹ × 5¹ × 2011¹

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 30165

List of positive integer factors of 30165 that divides 30150 without a remainder.

1, 3, 5, 15, 2011, 6033, 10055

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30150 and 30165. The biggest common factor number is the GCF number.
So the greatest common factor 30150 and 30165 is 15.

Also check out the Least Common Multiple of 30150 and 30165