Question

Find the highest common factor of 12 and 40
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Answer 1

4 is the highest common factor

Hope this helps!

Answer 2

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

`\purple {\Large\begin{array} l2&\underline{12}\\3& \underline{6}\\2&\underline{2}\\&\underline{1}\\\end{array}} \: \: \: \: \: \: \: \: \: \: \: \: \purple {\Large\begin{array} l2&\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 \: * \: 3 \: * \: 2 \: \: \: \: \: \: \: \: \: \: \\ \\ \red {\large \implies} \large \:40 \: = \: 2 \: * \: 2 \: * \: 5 \: * \: 2 \:`

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

`\rm\orange {\large \implies} \large \:Common \: factors \: = \: 2 \: * \: 2`

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