Greatest Common Divisor

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Find the *Greatest Common Divisor* (GCD) of the numbers 360 and 40.

**Answer**

$360=({2}^{3})({3}^{2})(5)$

$40=({2}^{3})(5)$

The GCD of 360 and 40 is the product of the least powers of each prime factor in both.

Thus the GCD of 360 and 40

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

$=40$