What is the Greatest Common Factor of 16705 and 16709?

Greatest common factor (GCF) of 16705 and 16709 is 1.

GCF(16705,16709) = 1

We will now calculate the prime factors of 16705 and 16709, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16705 and 16709.

How to find the GCF of 16705 and 16709?

We will first find the prime factorization of 16705 and 16709. After we will calculate the factors of 16705 and 16709 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 16709

Prime factors of 16709 are 7, 11, 31. Prime factorization of 16709 in exponential form is:

16709 = 7² × 11¹ × 31¹

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 16709

List of positive integer factors of 16709 that divides 16705 without a remainder.

1, 7, 11, 31, 49, 77, 217, 341, 539, 1519, 2387

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16705 and 16709. The biggest common factor number is the GCF number.
So the greatest common factor 16705 and 16709 is 1.

Also check out the Least Common Multiple of 16705 and 16709