Question

What is the GCF of 20 and 32

Answer 1

Given the following numbers

`20,32`

To find the greatest common factor, G.C.F.

The factor that can divide through two or more numbers evenly is the G.C.F

The factors of 20 and 32 are as follows

`\begin{gathered} 20\Rightarrow1*2*2*5 \\ 32\Rightarrow1*2*2*2*2*2 \end{gathered}`

The common factors between 20 and 32 is

`\begin{gathered} \text{Common factors }=2,2 \\ G\mathrm{}C\mathrm{}F=2*2=4 \\ G\mathrm{}C\mathrm{}F=4 \end{gathered}`

Hence, the GCF of 20 and 32 is 4

Alternatively

Finding the G.C.F using table to find the G.C.F of 20 and 32

Therefore, the G.C.F is

`G.C.F\Rightarrow2*2=4`

Hence, the G.C.F of 20 and 32 is 4