Question

What is the gcf of 18x 6 and 24y^2

Answer 1

Answer:
`GCF=6`

Explanation:

You have the following expressions:

`18x^6` and
`24y^2`

In this case, in order to find the Greatest Common Factor (GCF) of them, it is necessary to descompose each coefficient into their prime factors. Then:

`18=2*3*3=2*3^2\\\\24=2*2*2*3=2^3*3`

Now you must pick the common ones with the lowest exponent and multiply them. Then:

`GCF=2*3\\\\GCF=6`

Answer 2

The G.C.F of 18x^6 and 24y^2 is 6 ....

Explanation:

To find the G.C.F of any two numbers we have to find the prime factors of the each number and then multiply the common factors of the both the numbers to get the G.C.F.

The numbers we have are:

18x^6 and 24y^2

The prime factors of 18 are:

18 =2*3*3

The prime factors of 24y^2 are:

24 = 2*2*2*3

Here we can see that the common factors in both the numbers are:

2*3 = 6

Thus the G.C.F of 18x^6 and 24y^2 is 6 ....