What is the Greatest Common Factor of 31175 and 31189?

Greatest common factor (GCF) of 31175 and 31189 is 1.

GCF(31175,31189) = 1

We will now calculate the prime factors of 31175 and 31189, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31175 and 31189.

How to find the GCF of 31175 and 31189?

We will first find the prime factorization of 31175 and 31189. After we will calculate the factors of 31175 and 31189 and find the biggest common factor number .

Step-1: Prime Factorization of 31175

Prime factors of 31175 are 5, 29, 43. Prime factorization of 31175 in exponential form is:

31175 = 5² × 29¹ × 43¹

Step-2: Prime Factorization of 31189

Prime factors of 31189 are 31189. Prime factorization of 31189 in exponential form is:

31189 = 31189¹

Step-3: Factors of 31175

List of positive integer factors of 31175 that divides 31175 without a remainder.

1, 5, 25, 29, 43, 145, 215, 725, 1075, 1247, 6235

Step-4: Factors of 31189

List of positive integer factors of 31189 that divides 31175 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31175 and 31189. The biggest common factor number is the GCF number.
So the greatest common factor 31175 and 31189 is 1.

Also check out the Least Common Multiple of 31175 and 31189