What is the Greatest Common Factor of 30171 and 30175?

Greatest common factor (GCF) of 30171 and 30175 is 1.

GCF(30171,30175) = 1

We will now calculate the prime factors of 30171 and 30175, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30171 and 30175.

How to find the GCF of 30171 and 30175?

We will first find the prime factorization of 30171 and 30175. After we will calculate the factors of 30171 and 30175 and find the biggest common factor number .

Step-1: Prime Factorization of 30171

Prime factors of 30171 are 3, 89, 113. Prime factorization of 30171 in exponential form is:

30171 = 3¹ × 89¹ × 113¹

Step-2: 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-3: Factors of 30171

List of positive integer factors of 30171 that divides 30171 without a remainder.

1, 3, 89, 113, 267, 339, 10057

Step-4: Factors of 30175

List of positive integer factors of 30175 that divides 30171 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30171 and 30175. The biggest common factor number is the GCF number.
So the greatest common factor 30171 and 30175 is 1.

Also check out the Least Common Multiple of 30171 and 30175