What is the Greatest Common Factor of 30177 and 30183?

Greatest common factor (GCF) of 30177 and 30183 is 3.

GCF(30177,30183) = 3

We will now calculate the prime factors of 30177 and 30183, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30177 and 30183.

How to find the GCF of 30177 and 30183?

We will first find the prime factorization of 30177 and 30183. After we will calculate the factors of 30177 and 30183 and find the biggest common factor number .

Step-1: Prime Factorization of 30177

Prime factors of 30177 are 3, 7, 479. Prime factorization of 30177 in exponential form is:

30177 = 3² × 7¹ × 479¹

Step-2: Prime Factorization of 30183

Prime factors of 30183 are 3, 10061. Prime factorization of 30183 in exponential form is:

30183 = 3¹ × 10061¹

Step-3: Factors of 30177

List of positive integer factors of 30177 that divides 30177 without a remainder.

1, 3, 7, 9, 21, 63, 479, 1437, 3353, 4311, 10059

Step-4: Factors of 30183

List of positive integer factors of 30183 that divides 30177 without a remainder.

1, 3, 10061

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30177 and 30183. The biggest common factor number is the GCF number.
So the greatest common factor 30177 and 30183 is 3.

Also check out the Least Common Multiple of 30177 and 30183