What is the Greatest Common Factor of 30189 and 30195?

Greatest common factor (GCF) of 30189 and 30195 is 3.

GCF(30189,30195) = 3

We will now calculate the prime factors of 30189 and 30195, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30189 and 30195.

How to find the GCF of 30189 and 30195?

We will first find the prime factorization of 30189 and 30195. After we will calculate the factors of 30189 and 30195 and find the biggest common factor number .

Step-1: Prime Factorization of 30189

Prime factors of 30189 are 3, 29, 347. Prime factorization of 30189 in exponential form is:

30189 = 3¹ × 29¹ × 347¹

Step-2: Prime Factorization of 30195

Prime factors of 30195 are 3, 5, 11, 61. Prime factorization of 30195 in exponential form is:

30195 = 3² × 5¹ × 11¹ × 61¹

Step-3: Factors of 30189

List of positive integer factors of 30189 that divides 30189 without a remainder.

1, 3, 29, 87, 347, 1041, 10063

Step-4: Factors of 30195

List of positive integer factors of 30195 that divides 30189 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 61, 99, 165, 183, 305, 495, 549, 671, 915, 2013, 2745, 3355, 6039, 10065

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30189 and 30195. The biggest common factor number is the GCF number.
So the greatest common factor 30189 and 30195 is 3.

Also check out the Least Common Multiple of 30189 and 30195