What is the Greatest Common Factor of 31245 and 31265?

Greatest common factor (GCF) of 31245 and 31265 is 5.

GCF(31245,31265) = 5

We will now calculate the prime factors of 31245 and 31265, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31245 and 31265.

How to find the GCF of 31245 and 31265?

We will first find the prime factorization of 31245 and 31265. After we will calculate the factors of 31245 and 31265 and find the biggest common factor number .

Step-1: Prime Factorization of 31245

Prime factors of 31245 are 3, 5, 2083. Prime factorization of 31245 in exponential form is:

31245 = 3¹ × 5¹ × 2083¹

Step-2: 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-3: Factors of 31245

List of positive integer factors of 31245 that divides 31245 without a remainder.

1, 3, 5, 15, 2083, 6249, 10415

Step-4: Factors of 31265

List of positive integer factors of 31265 that divides 31245 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31245 and 31265. The biggest common factor number is the GCF number.
So the greatest common factor 31245 and 31265 is 5.

Also check out the Least Common Multiple of 31245 and 31265