Question

What is the greatest common factor for 36 and 45?

Answer 1

GCF is 9.

Explanation:

This method uses only `color(blue)"subtraction"` to find the GCF.

`•" subtract smaller number from larger number"`

`•" Repeat this until a common value is obtained"`

`•" The common value is the GCF"`
`color(blue)"------------------------------------------------"`

`• 45" and " 36larrcolor(red)" starting numbers"`

`45-36=9 larr " larger subtract smaller"`

`• 36" and " 9larrcolor(red)"numbers after subtraction"`

`36-9=27larr" larger subtract smaller"`

`• 27" and " 9larrcolor(red)" numbers after subtraction"`

`27-9=18larr" larger subtract smaller"`

`• 18" and " 9larrcolor(red)" numbers after subtraction"`

`18-9=9" larger subtract smaller"`

`• 9" and " 9larrcolor(red)" common value reached"`

`rArrcolor(blue)" GCF" =9`

Answer 2

GCF`->9`

Explanation:

36 factors`->1"; "2"; "3"; "4"; "6"; "color(red)(9)"; "12"; "18"; "36`
45 factors`->1"; "3"; "5"; "color(red)(9)"; "15"; "45`

As an additional example (sort of cheat method) see:
https://socratic.org/s/aKUFbWKt