What is the Greatest Common Factor of 31175 and 31187?

Greatest common factor (GCF) of 31175 and 31187 is 1.

GCF(31175,31187) = 1

We will now calculate the prime factors of 31175 and 31187, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31175 and 31187.

How to find the GCF of 31175 and 31187?

We will first find the prime factorization of 31175 and 31187. After we will calculate the factors of 31175 and 31187 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 31187

Prime factors of 31187 are 13, 2399. Prime factorization of 31187 in exponential form is:

31187 = 13¹ × 2399¹

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 31187

List of positive integer factors of 31187 that divides 31175 without a remainder.

1, 13, 2399

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31175 and 31187. The biggest common factor number is the GCF number.
So the greatest common factor 31175 and 31187 is 1.

Also check out the Least Common Multiple of 31175 and 31187