What is the Greatest Common Factor of 16736 and 16747?

Greatest common factor (GCF) of 16736 and 16747 is 1.

GCF(16736,16747) = 1

We will now calculate the prime factors of 16736 and 16747, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16736 and 16747.

How to find the GCF of 16736 and 16747?

We will first find the prime factorization of 16736 and 16747. After we will calculate the factors of 16736 and 16747 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 16747

Prime factors of 16747 are 16747. Prime factorization of 16747 in exponential form is:

16747 = 16747¹

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 16747

List of positive integer factors of 16747 that divides 16736 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16736 and 16747. The biggest common factor number is the GCF number.
So the greatest common factor 16736 and 16747 is 1.

Also check out the Least Common Multiple of 16736 and 16747