Question

find the HCF of 26 and91 by prime factraisation​

Answer 1

Answer:

26= 2×13

91= 7×13

here,13 is common

so, 13 is the hcf

Answer 2

AnswEr:-

❀ Your Answer Is 13.

ExplanaTion:-

Given:-

• Two Numbers 26 and 91.

To Find:-

• The HCF of given numbers by prime factorization method.

Now,

Lets find out the prime factorization of both thw numbers separately.

$\\ \boxed{\bf\hookrightarrow 26 = \begin{array}{r | l} 2 & 26\\ \cline{2-2} 13 & 13 \\ \cline{2-2} & 1 \end{array}}$

Similarly,

$\\ \boxed{\bf\hookrightarrow 91 = \begin{array}{r | l} 13 & 91 \\ \cline{2-2} 7 & 7 \\ \cline{2-2} & 1 \end{array}}$

Therefore,

From above we get:-

$\\ \bf\leadsto26 = 2 \times 13. \\ \\ \rm and \\ \\ \bf\leadsto 91 = 13 \times 7.$

❝ Therefore HCF = Highest Common Factor = 13.❞