What is the Greatest Common Factor of 31375 and 31385?

Greatest common factor (GCF) of 31375 and 31385 is 5.

GCF(31375,31385) = 5

We will now calculate the prime factors of 31375 and 31385, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31375 and 31385.

How to find the GCF of 31375 and 31385?

We will first find the prime factorization of 31375 and 31385. After we will calculate the factors of 31375 and 31385 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 31385

Prime factors of 31385 are 5, 6277. Prime factorization of 31385 in exponential form is:

31385 = 5¹ × 6277¹

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 31385

List of positive integer factors of 31385 that divides 31375 without a remainder.

1, 5, 6277

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31375 and 31385. The biggest common factor number is the GCF number.
So the greatest common factor 31375 and 31385 is 5.

Also check out the Least Common Multiple of 31375 and 31385