What is the Greatest Common Factor of 10305 and 10317?

Greatest common factor (GCF) of 10305 and 10317 is 3.

GCF(10305,10317) = 3

We will now calculate the prime factors of 10305 and 10317, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10305 and 10317.

How to find the GCF of 10305 and 10317?

We will first find the prime factorization of 10305 and 10317. After we will calculate the factors of 10305 and 10317 and find the biggest common factor number .

Step-1: Prime Factorization of 10305

Prime factors of 10305 are 3, 5, 229. Prime factorization of 10305 in exponential form is:

10305 = 3² × 5¹ × 229¹

Step-2: Prime Factorization of 10317

Prime factors of 10317 are 3, 19, 181. Prime factorization of 10317 in exponential form is:

10317 = 3¹ × 19¹ × 181¹

Step-3: Factors of 10305

List of positive integer factors of 10305 that divides 10305 without a remainder.

1, 3, 5, 9, 15, 45, 229, 687, 1145, 2061, 3435

Step-4: Factors of 10317

List of positive integer factors of 10317 that divides 10305 without a remainder.

1, 3, 19, 57, 181, 543, 3439

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10305 and 10317. The biggest common factor number is the GCF number.
So the greatest common factor 10305 and 10317 is 3.

Also check out the Least Common Multiple of 10305 and 10317