Answer:
The greatest common factor is 4.
Step-by-step explanation:
Given : Expression [tex]32+44=32+44[/tex]
To find : Apply the distributive property to factor out the greatest common factor?
Solution :
Distributive property states that
[tex]a(b*c)=ab*ac[/tex]
Now, we factor 32 and 44
[tex]32=2\times 2\times2\times2\times2[/tex]
[tex]44=2\times 2\times11[/tex]
So, we have seen that 4 is the common factor.
Now, Applying distributive property,
[tex]32+44=4(8+11)[/tex]
As [tex]32+44=4\times8+4\times11[/tex]
[tex]32+44=32+44[/tex]
Therefore, The greatest common factor is 4.
