Question

Find the greatest common factor of the
following monomials:
15x4y6 6x5y?
12x3, 4

Answer 1

1. The monomials are:

`15 {x}^(4) {y}^(6) = 3 * 5 {x}^(4) {y}^(6)`

and

`6 {x}^(5) {y} = 2 * 3 {x}^(5) y`

The highest common factor is the product of the least powers of the common factors.

The HCF is

`3 {x}^(4) y`

2. The monomials are:

`12 {x}^(3) = {2}^(2) * 3 {x}^(3)`

`4 = {2}^(2)`

The HCF is

`{2}^(2) = 4`