What is the Greatest Common Factor of 31265 and 31275?

Greatest common factor (GCF) of 31265 and 31275 is 5.

GCF(31265,31275) = 5

We will now calculate the prime factors of 31265 and 31275, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31265 and 31275.

How to find the GCF of 31265 and 31275?

We will first find the prime factorization of 31265 and 31275. After we will calculate the factors of 31265 and 31275 and find the biggest common factor number .

Step-1: Prime Factorization of 31265

Prime factors of 31265 are 5, 13, 37. Prime factorization of 31265 in exponential form is:

31265 = 5¹ × 13² × 37¹

Step-2: Prime Factorization of 31275

Prime factors of 31275 are 3, 5, 139. Prime factorization of 31275 in exponential form is:

31275 = 3² × 5² × 139¹

Step-3: Factors of 31265

List of positive integer factors of 31265 that divides 31265 without a remainder.

1, 5, 13, 37, 65, 169, 185, 481, 845, 2405, 6253

Step-4: Factors of 31275

List of positive integer factors of 31275 that divides 31265 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 139, 225, 417, 695, 1251, 2085, 3475, 6255, 10425

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31265 and 31275. The biggest common factor number is the GCF number.
So the greatest common factor 31265 and 31275 is 5.

Also check out the Least Common Multiple of 31265 and 31275