What is the Greatest Common Factor of 16705 and 16718?

Greatest common factor (GCF) of 16705 and 16718 is 13.

GCF(16705,16718) = 13

We will now calculate the prime factors of 16705 and 16718, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16705 and 16718.

How to find the GCF of 16705 and 16718?

We will first find the prime factorization of 16705 and 16718. After we will calculate the factors of 16705 and 16718 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 16718

Prime factors of 16718 are 2, 13, 643. Prime factorization of 16718 in exponential form is:

16718 = 2¹ × 13¹ × 643¹

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 16718

List of positive integer factors of 16718 that divides 16705 without a remainder.

1, 2, 13, 26, 643, 1286, 8359

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16705 and 16718. The biggest common factor number is the GCF number.
So the greatest common factor 16705 and 16718 is 13.

Also check out the Least Common Multiple of 16705 and 16718