Greatest Common Divisor

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Find the *Greatest Common Divisor* (GCD) of the numbers 30 and 288.

**Answer**

$30=(2)(3)(5)$

$288=({2}^{5})({3}^{2})$

The GCD of 30 and 288 is the product of the least powers of each prime factor in both.

Thus the GCD of 30 and 288

$=(2)(3)$

$=6$