Greatest Common Divisor

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Find the *Greatest Common Divisor* (GCD) of the numbers 432 and 504.

**Answer**

$432=({2}^{4})({3}^{3})$

$504=({2}^{3})({3}^{2})(7)$

The GCD of 432 and 504 is the product of the least powers of each prime factor in both.

Thus the GCD of 432 and 504

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

$=72$