Question

What is the greatest common factor shared by 33 and 60?

Answer 1

Greatest Common Factor is `3`

Explanation:

Factors of `33` are `{color(red)(1,3),11,33}`

Factors of `60` are `{color(red)1,2,color(red)3,4,5,6,10,12,15,20,30,60}`

Common Factors are `{color(red)1,color(blue)3}`

and Greatest Common Factor is `3`

Answer 2

`3`

Explanation:

One method of finding the greatest common factor (GCF) of two numbers goes as follows:

• Divide the larger number by the smaller to give a quotient and remainder.

• If the remainder is `0` then the smaller number is the GCF.

• Otherwise repeat with the smaller number and the remainder.

For our example, we find:

`60 / 33 = 1" "` with remainder `27`

`33 / 27 = 1" "` with remainder `6`

`27 / 6 = 4" "` with remainder `3`

`6/3 = 2" "` with remainder `0`

So the GCF of `60` and `33` is `3`