What is the Greatest Common Factor of 16705 and 16719?

Greatest common factor (GCF) of 16705 and 16719 is 1.

GCF(16705,16719) = 1

We will now calculate the prime factors of 16705 and 16719, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16705 and 16719.

How to find the GCF of 16705 and 16719?

We will first find the prime factorization of 16705 and 16719. After we will calculate the factors of 16705 and 16719 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 16719

Prime factors of 16719 are 3, 5573. Prime factorization of 16719 in exponential form is:

16719 = 3¹ × 5573¹

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 16719

List of positive integer factors of 16719 that divides 16705 without a remainder.

1, 3, 5573

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16705 and 16719. The biggest common factor number is the GCF number.
So the greatest common factor 16705 and 16719 is 1.

Also check out the Least Common Multiple of 16705 and 16719