What is the Greatest Common Factor of 16677 and 16689?

Greatest common factor (GCF) of 16677 and 16689 is 3.

GCF(16677,16689) = 3

We will now calculate the prime factors of 16677 and 16689, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16677 and 16689.

How to find the GCF of 16677 and 16689?

We will first find the prime factorization of 16677 and 16689. After we will calculate the factors of 16677 and 16689 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 16689

Prime factors of 16689 are 3, 5563. Prime factorization of 16689 in exponential form is:

16689 = 3¹ × 5563¹

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 16689

List of positive integer factors of 16689 that divides 16677 without a remainder.

1, 3, 5563

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16677 and 16689. The biggest common factor number is the GCF number.
So the greatest common factor 16677 and 16689 is 3.

Also check out the Least Common Multiple of 16677 and 16689