Question

Do the following numbers share common factors? If so, which is the greatest common factor?: {240, 96, 144}

Answer 1

Common factors are `{1,2,3,4,6,8,12,16,24,48}` and hence
Greatest Common Factor is `48`.

Explanation:

Factors of `240` are `{1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240}`

Factors of `96` are `{1,2,3,4,6,8,12,16,24,32,48,96}`

Factors of `144` are `{1,2,3,4,6,8,9,12,16,18,24,36,48,72,144}`

Hence common factors are `{1,2,3,4,6,8,12,16,24,48}`

Greatest Common Factor is `48`.