common factor

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May 9th 2008, 06:39 AM
merenwen

common factor

If a and b are prime numbers, what is the greatest common divisor of a4b2 and a3b3?

The answer is a3b2. Why??

Thanks for saving me!!
May 9th 2008, 08:18 AM
TKHunny

$a^{4}b^{2} = a*(a^{3}b^{2})$

$a^{3}b^{3} = (a^{3}b^{2})*b$

What's common between them?

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