How do you do this problem ?

Question

Find the GCF for the list.
23b^2, 23b^2k^4, 19b^3

23b^2
b^2k^4
b^2
23b^2k^4

Answer 1

b^2 is the greatest common factor.

Answer 2

b^2 divides all three expressions, the quotients being, respectively: 23, 23k^4 and 19b

In the context of formal polynomials, those quotients do not have any common factors, so the GCF is indeed b^2.

HOWEVER, if those things are intended to represent actual integers which depend on two parameters (b and k) that are integers themselves, then the answer depends on whether b is divisible by 23 or not. If it is, then the GCF is 23b^2, otherwise it's only b^2.

There you have it: Take your pick depending on the context of the question. I would guess that the context is that of formal polynomials (answer is b^2) otherwise two of the 4 choices would be valid whenever k=1.

Answer 3

GCF(23b^2, 23b^2k^4, 19b^3 )=b^2

Answer 4

add up the commons first and well you need more info

Answer 5

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