What is the Greatest Common Factor of 16705 and 16717?

Greatest common factor (GCF) of 16705 and 16717 is 1.

GCF(16705,16717) = 1

We will now calculate the prime factors of 16705 and 16717, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16705 and 16717.

How to find the GCF of 16705 and 16717?

We will first find the prime factorization of 16705 and 16717. After we will calculate the factors of 16705 and 16717 and find the biggest common factor number .

Step-1: Prime Factorization of 16705

Prime factors of 16705 are 5, 13, 257. Prime factorization of 16705 in exponential form is:

16705 = 5¹ × 13¹ × 257¹

Step-2: Prime Factorization of 16717

Prime factors of 16717 are 73, 229. Prime factorization of 16717 in exponential form is:

16717 = 73¹ × 229¹

Step-3: Factors of 16705

List of positive integer factors of 16705 that divides 16705 without a remainder.

1, 5, 13, 65, 257, 1285, 3341

Step-4: Factors of 16717

List of positive integer factors of 16717 that divides 16705 without a remainder.

1, 73, 229

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16705 and 16717. The biggest common factor number is the GCF number.
So the greatest common factor 16705 and 16717 is 1.

Also check out the Least Common Multiple of 16705 and 16717