Question

Find the greatest common factor of the numbers

$21,42$

Short answer

The greatest common factor is $21$.

Step-by-step solution

Step -1 - Apply the concept of Factorization

In this, simply use the concept of factorization of the numbers and to get the common number from the both and do the multiplication if two numbers comes out.

Step -2 – Find the Factorization

Here, the numbers are $21,42$.

Factorization of $21$ is $21=3\times 7$.

Factorization of $42$ is $42=2\times 3\times 7$.

Step -3 – Finding the common factor

Now, from the above factorization, the common multiple is $3\times 7$.

So, the greatest common factor is $3\times 7=21$.