What is the Greatest Common Factor of 16736 and 16746?

Greatest common factor (GCF) of 16736 and 16746 is 2.

GCF(16736,16746) = 2

We will now calculate the prime factors of 16736 and 16746, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16736 and 16746.

How to find the GCF of 16736 and 16746?

We will first find the prime factorization of 16736 and 16746. After we will calculate the factors of 16736 and 16746 and find the biggest common factor number .

Step-1: Prime Factorization of 16736

Prime factors of 16736 are 2, 523. Prime factorization of 16736 in exponential form is:

16736 = 2⁵ × 523¹

Step-2: Prime Factorization of 16746

Prime factors of 16746 are 2, 3, 2791. Prime factorization of 16746 in exponential form is:

16746 = 2¹ × 3¹ × 2791¹

Step-3: Factors of 16736

List of positive integer factors of 16736 that divides 16736 without a remainder.

1, 2, 4, 8, 16, 32, 523, 1046, 2092, 4184, 8368

Step-4: Factors of 16746

List of positive integer factors of 16746 that divides 16736 without a remainder.

1, 2, 3, 6, 2791, 5582, 8373

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16736 and 16746. The biggest common factor number is the GCF number.
So the greatest common factor 16736 and 16746 is 2.

Also check out the Least Common Multiple of 16736 and 16746