What is the Greatest Common Factor of 31249 and 31265?

Greatest common factor (GCF) of 31249 and 31265 is 1.

GCF(31249,31265) = 1

We will now calculate the prime factors of 31249 and 31265, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31249 and 31265.

How to find the GCF of 31249 and 31265?

We will first find the prime factorization of 31249 and 31265. After we will calculate the factors of 31249 and 31265 and find the biggest common factor number .

Step-1: Prime Factorization of 31249

Prime factors of 31249 are 31249. Prime factorization of 31249 in exponential form is:

31249 = 31249¹

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 31249

List of positive integer factors of 31249 that divides 31249 without a remainder.

Step-4: Factors of 31265

List of positive integer factors of 31265 that divides 31249 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 31249 and 31265. The biggest common factor number is the GCF number.
So the greatest common factor 31249 and 31265 is 1.

Also check out the Least Common Multiple of 31249 and 31265