What is the Greatest Common Factor of 30165 and 30171?

Greatest common factor (GCF) of 30165 and 30171 is 3.

GCF(30165,30171) = 3

We will now calculate the prime factors of 30165 and 30171, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30165 and 30171.

How to find the GCF of 30165 and 30171?

We will first find the prime factorization of 30165 and 30171. After we will calculate the factors of 30165 and 30171 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 30171

Prime factors of 30171 are 3, 89, 113. Prime factorization of 30171 in exponential form is:

30171 = 3¹ × 89¹ × 113¹

Step-3: Factors of 30165

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

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

Step-4: Factors of 30171

List of positive integer factors of 30171 that divides 30165 without a remainder.

1, 3, 89, 113, 267, 339, 10057

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30165 and 30171. The biggest common factor number is the GCF number.
So the greatest common factor 30165 and 30171 is 3.

Also check out the Least Common Multiple of 30165 and 30171