Answer:
12
Step-by-step explanation:
We are given that the expression
[tex]24x-60y[/tex]
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.
[tex]24x=1\times 2\times 3\times 2\times 2\times x[/tex]
[tex]60y=1\times 2\times 2\times 3\times 5\times y[/tex]
HCF(24x,60y)=[tex]1\times 2\times 2\times 3[/tex]
HCF(24x,60y)=12
Hence, the greatest common factor of 24x and 60y=12
