What is the Greatest Common Factor of 17330 and 17345?

Greatest common factor (GCF) of 17330 and 17345 is 5.

GCF(17330,17345) = 5

We will now calculate the prime factors of 17330 and 17345, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17330 and 17345.

How to find the GCF of 17330 and 17345?

We will first find the prime factorization of 17330 and 17345. After we will calculate the factors of 17330 and 17345 and find the biggest common factor number .

Step-1: Prime Factorization of 17330

Prime factors of 17330 are 2, 5, 1733. Prime factorization of 17330 in exponential form is:

17330 = 2¹ × 5¹ × 1733¹

Step-2: Prime Factorization of 17345

Prime factors of 17345 are 5, 3469. Prime factorization of 17345 in exponential form is:

17345 = 5¹ × 3469¹

Step-3: Factors of 17330

List of positive integer factors of 17330 that divides 17330 without a remainder.

1, 2, 5, 10, 1733, 3466, 8665

Step-4: Factors of 17345

List of positive integer factors of 17345 that divides 17330 without a remainder.

1, 5, 3469

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17330 and 17345. The biggest common factor number is the GCF number.
So the greatest common factor 17330 and 17345 is 5.

Also check out the Least Common Multiple of 17330 and 17345