Question

find the hcf of 85 and 136 by prime factorization please do on a sheet with full solution

Answer 1

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Answer 2

HCF of 85 and 136 is 17

Given :

The numbers 85 and 136

To find :

HCF of 85 and 136

Solution :

Step 1 of 3 :

Write down the given numbers

The given numbers are 85 and 136

Step 2 of 3 :

Prime factorise the given numbers

$\begin{gathered}\begin{gathered}\begin{gathered} \:\: \begin{array}{c|c} {\underline{\sf{5}}}&{\underline{\sf{\:\:85 \:\:}}}\\ {\underline{\sf{17}}}&\underline{\sf{\:\:17 \:\:}} \\ {\underline{\sf{}}}&\underline{\sf{\:\:1 \:\:}} \end{array}\end{gathered}\end{gathered}\end{gathered}$

$\begin{gathered}\begin{gathered}\begin{gathered} \:\: \begin{array}{c|c} {\underline{\sf{2}}}&{\underline{\sf{\:\:136 \:\:}}}\\ {\underline{\sf{2}}}&\underline{\sf{\:\:68 \:\:}} \\ {\underline{\sf{2}}}&\underline{\sf{\:\:34 \:\:}} \\\underline{\sf{17}}&\underline{\sf{\:\:17\:\:}}\\\underline{\sf{}}&\underline{\sf{\:\:1\:\:}} \end{array}\end{gathered}\end{gathered}\end{gathered}$

85 = 5 × 17

136 = 2 × 2 × 2 × 17

Step 3 of 3 :

Find HCF of 85 and 136

We know that for the given two or more numbers HCF is the greatest number that divides each of the numbers

Hence the required HCF

= HCF of 85 and 136

= 17

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