Greatest Common Divisor

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Find the *Greatest Common Divisor* (GCD) of the numbers 180 and 27.

**Answer**

$180=({2}^{2})({3}^{2})(5)$

$27=({3}^{3})$

The GCD of 180 and 27 is the product of the least powers of each prime factor in both.

Thus the GCD of 180 and 27

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

$=9$