What is the Greatest Common Factor of 31255 and 31275?

Greatest common factor (GCF) of 31255 and 31275 is 5.

GCF(31255,31275) = 5

We will now calculate the prime factors of 31255 and 31275, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31255 and 31275.

How to find the GCF of 31255 and 31275?

We will first find the prime factorization of 31255 and 31275. After we will calculate the factors of 31255 and 31275 and find the biggest common factor number .

Step-1: Prime Factorization of 31255

Prime factors of 31255 are 5, 7, 19, 47. Prime factorization of 31255 in exponential form is:

31255 = 5¹ × 7¹ × 19¹ × 47¹

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 31255

List of positive integer factors of 31255 that divides 31255 without a remainder.

1, 5, 7, 19, 35, 47, 95, 133, 235, 329, 665, 893, 1645, 4465, 6251

Step-4: Factors of 31275

List of positive integer factors of 31275 that divides 31255 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 31255 and 31275. The biggest common factor number is the GCF number.
So the greatest common factor 31255 and 31275 is 5.

Also check out the Least Common Multiple of 31255 and 31275