Question
Find the HCF of the numbers in the following using the prime factorization method:170, 238
✓
Answer
The given numbers are 170 and 238.We have:
$\begin{array}{c|c}2&170\\\hline5&85\\\hline17&17\\\hline&1\end{array}$
$\begin{array}{c|c}2&238\\\hline7&119\\\hline17&17\\\hline&1\end{array}$
$170=2\times5\times17$
$238=2\times7\times17$
$\therefore$ HCF of the given numbers = 2 × 17 = 34
$\begin{array}{c|c}2&170\\\hline5&85\\\hline17&17\\\hline&1\end{array}$
$\begin{array}{c|c}2&238\\\hline7&119\\\hline17&17\\\hline&1\end{array}$
$170=2\times5\times17$
$238=2\times7\times17$
$\therefore$ HCF of the given numbers = 2 × 17 = 34
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