Answer:
The greatest common factor is 8xyz
Step-by-step explanation:
To find the greatest common factor of an expression involving numbers and variables, we find each greatest common factor separately.
Numbers:
48, 24 and 56.
We find the greatest common factor factoring them simultaneously while all can be factored by the same number. The GCF is the multiplication of the factors. So
48 - 24 - 56|2
24 - 12 - 28|2
12 - 6 - 14|2
6 - 3 - 7|
They cant be factored by the same factors anymore, so the numeric GCF is 8.
Variables:
For each variable, the GCF will be the lowest exponent.
Variable x: We have exponents 1, 2 and 2. So the GCF is [tex]x^1 = x[/tex]
Variable y: We have exponents 3, 3 and 1. So the GCF is [tex]y^1 = y[/tex]
Variable z: We have exponents 1, 1 and 1. So the GCF is [tex]z^1 = z[/tex]
The greatest common factor is:
[tex]8*x*y*z = 8xyz[/tex]
