What is the Greatest Common Factor of 30175 and 30189?

Greatest common factor (GCF) of 30175 and 30189 is 1.

GCF(30175,30189) = 1

We will now calculate the prime factors of 30175 and 30189, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30175 and 30189.

How to find the GCF of 30175 and 30189?

We will first find the prime factorization of 30175 and 30189. After we will calculate the factors of 30175 and 30189 and find the biggest common factor number .

Step-1: Prime Factorization of 30175

Prime factors of 30175 are 5, 17, 71. Prime factorization of 30175 in exponential form is:

30175 = 5² × 17¹ × 71¹

Step-2: 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-3: Factors of 30175

List of positive integer factors of 30175 that divides 30175 without a remainder.

1, 5, 17, 25, 71, 85, 355, 425, 1207, 1775, 6035

Step-4: Factors of 30189

List of positive integer factors of 30189 that divides 30175 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30175 and 30189. The biggest common factor number is the GCF number.
So the greatest common factor 30175 and 30189 is 1.

Also check out the Least Common Multiple of 30175 and 30189