What is the Greatest Common Factor of 30189 and 30197?

Greatest common factor (GCF) of 30189 and 30197 is 1.

GCF(30189,30197) = 1

We will now calculate the prime factors of 30189 and 30197, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30189 and 30197.

How to find the GCF of 30189 and 30197?

We will first find the prime factorization of 30189 and 30197. After we will calculate the factors of 30189 and 30197 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 30197

Prime factors of 30197 are 30197. Prime factorization of 30197 in exponential form is:

30197 = 30197¹

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 30197

List of positive integer factors of 30197 that divides 30189 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30189 and 30197. The biggest common factor number is the GCF number.
So the greatest common factor 30189 and 30197 is 1.

Also check out the Least Common Multiple of 30189 and 30197