Greatest Common Divisor

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Find the *Greatest Common Divisor* (GCD) of the numbers 1080 and 45.

**Answer**

$1080=({2}^{3})({3}^{3})(5)$

$45=({3}^{2})(5)$

The GCD of 1080 and 45 is the product of the least powers of each prime factor in both.

Thus the GCD of 1080 and 45

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

$=45$