What is the Greatest Common Factor of 31355 and 31375?

Greatest common factor (GCF) of 31355 and 31375 is 5.

GCF(31355,31375) = 5

We will now calculate the prime factors of 31355 and 31375, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31355 and 31375.

How to find the GCF of 31355 and 31375?

We will first find the prime factorization of 31355 and 31375. After we will calculate the factors of 31355 and 31375 and find the biggest common factor number .

Step-1: Prime Factorization of 31355

Prime factors of 31355 are 5, 6271. Prime factorization of 31355 in exponential form is:

31355 = 5¹ × 6271¹

Step-2: Prime Factorization of 31375

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

31375 = 5³ × 251¹

Step-3: Factors of 31355

List of positive integer factors of 31355 that divides 31355 without a remainder.

1, 5, 6271

Step-4: Factors of 31375

List of positive integer factors of 31375 that divides 31355 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31355 and 31375. The biggest common factor number is the GCF number.
So the greatest common factor 31355 and 31375 is 5.

Also check out the Least Common Multiple of 31355 and 31375