What is the Greatest Common Factor of 30175 and 30193?

Greatest common factor (GCF) of 30175 and 30193 is 1.

GCF(30175,30193) = 1

We will now calculate the prime factors of 30175 and 30193, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30175 and 30193.

How to find the GCF of 30175 and 30193?

We will first find the prime factorization of 30175 and 30193. After we will calculate the factors of 30175 and 30193 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 30193

Prime factors of 30193 are 109, 277. Prime factorization of 30193 in exponential form is:

30193 = 109¹ × 277¹

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 30193

List of positive integer factors of 30193 that divides 30175 without a remainder.

1, 109, 277

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30175 and 30193. The biggest common factor number is the GCF number.
So the greatest common factor 30175 and 30193 is 1.

Also check out the Least Common Multiple of 30175 and 30193