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The greatest common factor of sets of mathematical expression is that which can divide both and give the least answer. 
For the first set, the GCF is equal to 4ab^2. 
For the second set of mathematical expressions, the GCF is 4ab^2. 
JeanaShupp

Answer: The greatest common factor of [tex]8a^3b^2\ and\ 12ab^4[/tex] is [tex]4ab^2[/tex].

Step-by-step explanation:

Given expressions: [tex]8a^3b^2\ and\ 12ab^4[/tex]

We can write the first expression as

[tex]8a^3b^2=2\times2\times2\times a\times a\times a\times b\times b\\12ab^4=2\times2\times3\times a\times\ b\times b\times b\times b[/tex]

We can see the greatest common factors in both the expressions as

GCF=[tex]2\times2\times a\times b\times b=4ab^2[/tex]

Hence, the greatest common factor of [tex]8a^3b^2\ and\ 12ab^4[/tex] is [tex]4ab^2[/tex].

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