Greatest Common Divisor

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Find the *Greatest Common Divisor* (GCD) of the numbers 224 and 180.

**Answer**

$224=({2}^{5})(7)$

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

The GCD of 224 and 180 is the product of the least powers of each prime factor in both.

Thus the GCD of 224 and 180

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

$=4$