What is the Greatest Common Factor of 31345 and 31365?

Greatest common factor (GCF) of 31345 and 31365 is 5.

GCF(31345,31365) = 5

We will now calculate the prime factors of 31345 and 31365, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31345 and 31365.

How to find the GCF of 31345 and 31365?

We will first find the prime factorization of 31345 and 31365. After we will calculate the factors of 31345 and 31365 and find the biggest common factor number .

Step-1: Prime Factorization of 31345

Prime factors of 31345 are 5, 6269. Prime factorization of 31345 in exponential form is:

31345 = 5¹ × 6269¹

Step-2: Prime Factorization of 31365

Prime factors of 31365 are 3, 5, 17, 41. Prime factorization of 31365 in exponential form is:

31365 = 3² × 5¹ × 17¹ × 41¹

Step-3: Factors of 31345

List of positive integer factors of 31345 that divides 31345 without a remainder.

1, 5, 6269

Step-4: Factors of 31365

List of positive integer factors of 31365 that divides 31345 without a remainder.

1, 3, 5, 9, 15, 17, 41, 45, 51, 85, 123, 153, 205, 255, 369, 615, 697, 765, 1845, 2091, 3485, 6273, 10455

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31345 and 31365. The biggest common factor number is the GCF number.
So the greatest common factor 31345 and 31365 is 5.

Also check out the Least Common Multiple of 31345 and 31365