What is the Greatest Common Factor of 16734 and 16749?

Greatest common factor (GCF) of 16734 and 16749 is 3.

GCF(16734,16749) = 3

We will now calculate the prime factors of 16734 and 16749, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16734 and 16749.

How to find the GCF of 16734 and 16749?

We will first find the prime factorization of 16734 and 16749. After we will calculate the factors of 16734 and 16749 and find the biggest common factor number .

Step-1: Prime Factorization of 16734

Prime factors of 16734 are 2, 3, 2789. Prime factorization of 16734 in exponential form is:

16734 = 2¹ × 3¹ × 2789¹

Step-2: Prime Factorization of 16749

Prime factors of 16749 are 3, 1861. Prime factorization of 16749 in exponential form is:

16749 = 3² × 1861¹

Step-3: Factors of 16734

List of positive integer factors of 16734 that divides 16734 without a remainder.

1, 2, 3, 6, 2789, 5578, 8367

Step-4: Factors of 16749

List of positive integer factors of 16749 that divides 16734 without a remainder.

1, 3, 9, 1861, 5583

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16734 and 16749. The biggest common factor number is the GCF number.
So the greatest common factor 16734 and 16749 is 3.

Also check out the Least Common Multiple of 16734 and 16749