Greatest Common Divisor

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Find the *Greatest Common Divisor* (GCD) of the numbers 24 and 225.

**Answer**

$24=({2}^{3})(3)$

$225=({3}^{2})({5}^{2})$

The GCD of 24 and 225 is the product of the least powers of each prime factor in both.

Thus the GCD of 24 and 225

$=(3)$

$=3$