SOLUTION: how would you find the greatest common factor of 8ab^3 and 2ab^2? please explain.

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Question 427325: how would you find the greatest common factor of 8ab^3 and 2ab^2?
please explain.

Found 2 solutions by stanbon, josmiceli:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
how would you find the greatest common factor of 8ab^3 and 2ab^2?
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Greatest COMMON factor of 8 and 2 is 2
G COMMON factor of a and a is a
G COMMON factor of b^3 and b^2 is b^2
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GCF for your problem: 2ab^2
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Cheers,
Stan H.
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Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
It is the same problem as
"What is the greatest common factor of
30 and 48?"
3 divides both of them, but so does 6,
so that's the answer.
Looking at +8a%2Ab%5E3 and 2a%2Ab%5E2,
I see that 2 is a common factor, so is
a and b%5E2. Note that b%5E3 will
not divide into 2a%2Ab%5E2 evenly.
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2a%2Ab2 is the common factor because
2a%2Ab%5E2+%2F+%282a%2Ab%5E2%29+=+1
and
8a%2Ab%5E3+%2F+%282a%2Ab%5E2%29+=+4b
Note that there is no remainder in the divisions.