What is the Greatest Common Factor of 17305 and 17320?

Greatest common factor (GCF) of 17305 and 17320 is 5.

GCF(17305,17320) = 5

We will now calculate the prime factors of 17305 and 17320, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17305 and 17320.

How to find the GCF of 17305 and 17320?

We will first find the prime factorization of 17305 and 17320. After we will calculate the factors of 17305 and 17320 and find the biggest common factor number .

Step-1: Prime Factorization of 17305

Prime factors of 17305 are 5, 3461. Prime factorization of 17305 in exponential form is:

17305 = 5¹ × 3461¹

Step-2: Prime Factorization of 17320

Prime factors of 17320 are 2, 5, 433. Prime factorization of 17320 in exponential form is:

17320 = 2³ × 5¹ × 433¹

Step-3: Factors of 17305

List of positive integer factors of 17305 that divides 17305 without a remainder.

1, 5, 3461

Step-4: Factors of 17320

List of positive integer factors of 17320 that divides 17305 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 433, 866, 1732, 2165, 3464, 4330, 8660

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17305 and 17320. The biggest common factor number is the GCF number.
So the greatest common factor 17305 and 17320 is 5.

Also check out the Least Common Multiple of 17305 and 17320