What is the Greatest Common Factor of 16 and 1?

Greatest common factor (GCF) of 16 and 1 is 1.

GCF(16,1) = 1

We will now calculate the prime factors of 16 and 1, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16 and 1.

How to find the GCF of 16 and 1?

We will first find the prime factorization of 16 and 1. After we will calculate the factors of 16 and 1 and find the biggest common factor number .

Step-1: Prime Factorization of 16

Prime factors of 16 are 2. Prime factorization of 16 in exponential form is:

16 = 2⁴

Step-3: Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1, 2, 4, 8

Step-4: Factors of 1

List of positive integer factors of 1 that divides 16 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16 and 1. The biggest common factor number is the GCF number.
So the greatest common factor 16 and 1 is 1.

Also check out the Least Common Multiple of 16 and 1