What is the Greatest Common Factor of 31375 and 31387?

Greatest common factor (GCF) of 31375 and 31387 is 1.

GCF(31375,31387) = 1

We will now calculate the prime factors of 31375 and 31387, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31375 and 31387.

How to find the GCF of 31375 and 31387?

We will first find the prime factorization of 31375 and 31387. After we will calculate the factors of 31375 and 31387 and find the biggest common factor number .

Step-1: Prime Factorization of 31375

Prime factors of 31375 are 5, 251. Prime factorization of 31375 in exponential form is:

31375 = 5³ × 251¹

Step-2: Prime Factorization of 31387

Prime factors of 31387 are 31387. Prime factorization of 31387 in exponential form is:

31387 = 31387¹

Step-3: Factors of 31375

List of positive integer factors of 31375 that divides 31375 without a remainder.

1, 5, 25, 125, 251, 1255, 6275

Step-4: Factors of 31387

List of positive integer factors of 31387 that divides 31375 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31375 and 31387. The biggest common factor number is the GCF number.
So the greatest common factor 31375 and 31387 is 1.

Also check out the Least Common Multiple of 31375 and 31387