Greatest Common Divisor

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Find the *Greatest Common Divisor* (GCD) of the numbers 4 and 480.

**Answer**

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

$480=({2}^{5})(3)(5)$

The GCD of 4 and 480 is the product of the least powers of each prime factor in both.

Thus the GCD of 4 and 480

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

$=4$