Question

What factors do 6 and 4 have in common?

Answer 1

Hint: For solving this question you should know about the calculating of factors of any given numbers. In this type of question we will do the factors of the given number and then we see the common values between them, and the values which are common, they are known as the common factors of those numbers.

Complete step-by-step answer:
According to our question we have to calculate the factors of 6 and 4 which are common between them.
We can solve this question by doing factors of both numbers.
So, if we see the factors of any numbers calculated by us, we will provide the common factors between them. If we take an example for this, then-
Eg. (1)
Determine the common factors among 2, 7, 6, 18, 48, 66, 57, 43, 59 and 99.
 If we want to calculate the factors of these numbers then:
\[\begin{align}
  & 2=1\times 2 \\
 & 7=1\times 7 \\
 & 6=1\times 2\times 3 \\
 & 18=1\times 2\times 3\times 3 \\
 & 48=1\times 2\times 2\times 2\times 2\times 3 \\
 & 66=1\times 2\times 3\times 11 \\
 & 57=1\times 3\times 19 \\
 & 43=1\times 43 \\
 & 59=1\times 59 \\
 & 99=1\times 3\times 3\times 11 \\
\end{align}\]
So, here if we look at all the factors then here nothing is common from all the factors. And only 1 is a common number which is always common for every number.
So, here nothing is common.
But if we have to ask to find the greatest common factor and lowest common multiple then too we will solve that like this.
Now, according to our question our numbers are:
\[\begin{align}
  & 4=2\times 2 \\
 & 6=2\times 3 \\
\end{align}\]
Here, the common factor between both is only 2.
So, the common factor between 6 and 4 is 2.

Note: During solving this question you should be careful because it is not compulsory to be common factors between all numbers. And it can’t be possible to be any common factor of ‘2’ between an even and an odd number.