What is the Greatest Common Factor of 16689 and 16701?

Greatest common factor (GCF) of 16689 and 16701 is 3.

GCF(16689,16701) = 3

We will now calculate the prime factors of 16689 and 16701, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16689 and 16701.

How to find the GCF of 16689 and 16701?

We will first find the prime factorization of 16689 and 16701. After we will calculate the factors of 16689 and 16701 and find the biggest common factor number .

Step-1: Prime Factorization of 16689

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

16689 = 3¹ × 5563¹

Step-2: Prime Factorization of 16701

Prime factors of 16701 are 3, 19, 293. Prime factorization of 16701 in exponential form is:

16701 = 3¹ × 19¹ × 293¹

Step-3: Factors of 16689

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

1, 3, 5563

Step-4: Factors of 16701

List of positive integer factors of 16701 that divides 16689 without a remainder.

1, 3, 19, 57, 293, 879, 5567

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16689 and 16701. The biggest common factor number is the GCF number.
So the greatest common factor 16689 and 16701 is 3.

Also check out the Least Common Multiple of 16689 and 16701