What is the Greatest Common Factor of 17505 and 17517?

Greatest common factor (GCF) of 17505 and 17517 is 3.

GCF(17505,17517) = 3

We will now calculate the prime factors of 17505 and 17517, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17505 and 17517.

How to find the GCF of 17505 and 17517?

We will first find the prime factorization of 17505 and 17517. After we will calculate the factors of 17505 and 17517 and find the biggest common factor number .

Step-1: Prime Factorization of 17505

Prime factors of 17505 are 3, 5, 389. Prime factorization of 17505 in exponential form is:

17505 = 3² × 5¹ × 389¹

Step-2: Prime Factorization of 17517

Prime factors of 17517 are 3, 5839. Prime factorization of 17517 in exponential form is:

17517 = 3¹ × 5839¹

Step-3: Factors of 17505

List of positive integer factors of 17505 that divides 17505 without a remainder.

1, 3, 5, 9, 15, 45, 389, 1167, 1945, 3501, 5835

Step-4: Factors of 17517

List of positive integer factors of 17517 that divides 17505 without a remainder.

1, 3, 5839

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17505 and 17517. The biggest common factor number is the GCF number.
So the greatest common factor 17505 and 17517 is 3.

Also check out the Least Common Multiple of 17505 and 17517