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# What is the H.C.F. of the smallest prime number and the smallest composite number?

Last updated date: 29th Mar 2023
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Smallest prime number $= 2$
Smallest composite number $= 4$
Prime factors of $2$is itself $4$
Now consider the prime factors of $4$
i.e. $4 = 2 \times 2$
In $2$, there are one $2$while in $4$, there are two $2s$. So, in this case the common factors are one $2$.
Thus, the H.C.F. of the smallest prime number and smallest composite number is $2$.
Note: Always remember that prime numbers start from $2$ and composite numbers starts from $4$. And prime numbers have only two factors i.e. one and itself. But in case of composite numbers the factors are more than two.