Question

Find the common factors of $81$ and $16$.

Answer 1

Hint: Here, in the given question, we need to find the common factors of $81$ and $16$. Common factors are defined as the factors that are common to two or more numbers. To solve the given question, we will first find the factors (a factor of a number is an exact divisor of the given number and every factor of a number is less than or equal to the given number) of $81$ and $16$ individually and then we will filter out the common factors between $81$ and $16$.

Complete step by step solution:
We need to find the common factors of $81$ and $16$. At first we will write the individual factors,
Let us first find the factors of the number $81$.
Factors of $81$ are: $1,3,9,27$ and $81$
Now, let us find the factors of the number $16$.
Factors of $16$ are: $1,2,4,8$ and $16$
From these, we can clearly see that $1$ is the only common factor of both the numbers $81$ and $16$
So, the correct answer is “1”.

Note: Don’t forget that every number has a minimum of two factors, $1$ and the number itself are the basic factors of every number. Don’t get confused between factors and multiples of a number. A factor of a number is an exact divisor of the given number and every factor of a number is less than or equal to the given number. A multiple is a number which is exactly divided by the given number. For example, the factors of $10$ are $1,2,5,10$ and the multiples of $10$ are $10,20,30$ and so on.