Question

Find the highest common factor of 12 and 40
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Answer 1

To find the highest common factor (HCF) between two numbers , first to take HCF of both the numbers.

$\purple {\Large\begin{array}{r | l}2&\underline{12}\\3& \underline{6}\\2&\underline{2}\\&\underline{1}\\\end{array}} \: \: \: \: \: \: \: \: \: \: \: \: \purple {\Large\begin{array}{r | l}2&\underline{40}\\2& \underline{20}\\5&\underline{10}\\2&\underline{2} \ \\ &\underline{1}\\\end{array}}$

• Take every common prime factor between 12 and 40

$\red {\large \implies} \large \: 12 \: = \: 2 \: \times \: 3 \: \times \: 2 \: \: \: \: \: \: \: \: \: \: \\ \\ \red {\large \implies} \large \:40 \: = \: 2 \: \times \: 2 \: \times \: 5 \: \times \: 2 \:$

• Finally, identify the factors common to each number and multiply those common factors together.

$\rm\orange {\large \implies} \large \:Common \: factors \: = \: 2 \: \times \: 2$

$\rm\orange {\large \implies} \large \:HCF = 4$

Answer 2

4 is the highest common factor

Hope this helps!