What is the Greatest Common Factor of 16677 and 16694?

Greatest common factor (GCF) of 16677 and 16694 is 17.

GCF(16677,16694) = 17

We will now calculate the prime factors of 16677 and 16694, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16677 and 16694.

How to find the GCF of 16677 and 16694?

We will first find the prime factorization of 16677 and 16694. After we will calculate the factors of 16677 and 16694 and find the biggest common factor number .

Step-1: Prime Factorization of 16677

Prime factors of 16677 are 3, 17, 109. Prime factorization of 16677 in exponential form is:

16677 = 3² × 17¹ × 109¹

Step-2: Prime Factorization of 16694

Prime factors of 16694 are 2, 17, 491. Prime factorization of 16694 in exponential form is:

16694 = 2¹ × 17¹ × 491¹

Step-3: Factors of 16677

List of positive integer factors of 16677 that divides 16677 without a remainder.

1, 3, 9, 17, 51, 109, 153, 327, 981, 1853, 5559

Step-4: Factors of 16694

List of positive integer factors of 16694 that divides 16677 without a remainder.

1, 2, 17, 34, 491, 982, 8347

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16677 and 16694. The biggest common factor number is the GCF number.
So the greatest common factor 16677 and 16694 is 17.

Also check out the Least Common Multiple of 16677 and 16694