Question

Find the HCF of the following numbers $34,102$

Answer 1

Find the HCF of the given numbers

HCF or the highest common factor of two numbers is the largest number which is a factor of both the numbers.

Prime factorize $34$ and $102$ as follows:

$$\begin{gathered} 34=2\times 17 \\ 102=2\times 3\times 17 \end{gathered}$$

Common factors of $34$and $102$ are $2\times 17$

So, the highest common factor is $2\times 17=34$

Hence, HCF of $34$ and $102$ is $34$.