What is the Greatest Common Factor of 31275 and 31293?

Greatest common factor (GCF) of 31275 and 31293 is 9.

GCF(31275,31293) = 9

We will now calculate the prime factors of 31275 and 31293, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31275 and 31293.

How to find the GCF of 31275 and 31293?

We will first find the prime factorization of 31275 and 31293. After we will calculate the factors of 31275 and 31293 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 31293

Prime factors of 31293 are 3, 19, 61. Prime factorization of 31293 in exponential form is:

31293 = 3³ × 19¹ × 61¹

Step-3: Factors of 31275

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

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

Step-4: Factors of 31293

List of positive integer factors of 31293 that divides 31275 without a remainder.

1, 3, 9, 19, 27, 57, 61, 171, 183, 513, 549, 1159, 1647, 3477, 10431

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31275 and 31293. The biggest common factor number is the GCF number.
So the greatest common factor 31275 and 31293 is 9.

Also check out the Least Common Multiple of 31275 and 31293