Question

The factors of each term in the expression 24 x minus 60 y are shown below. 24x: 1, 2, 3, 4, 6, 8, 12, 24, x 60y: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, y What is the greatest common factor of 24x and 60y? 12 12x 12y 12xy

Answer 1

12

Explanation:

We are given that the expression

`24x-60y`

The factors of 24x is given by

1,2,3,4,6,8,12,24,x

The factor of 60 y is given by

1,2,3,4,5,6,10,12,15,20,30,60,y

We have to find the greatest common factor of 24x and 60y.

`24x=1* 2* 3* 2* 2* x`

`60y=1* 2* 2* 3* 5* y`

HCF(24x,60y)=
`1* 2* 2* 3`

HCF(24x,60y)=12

Hence, the greatest common factor of 24x and 60y=12