Greatest Common Divisor

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Find the *Greatest Common Divisor* (GCD) of the numbers 7560 and 540.

**Answer**

$7560=({2}^{3})({3}^{3})(5)(7)$

$540=({2}^{2})({3}^{3})(5)$

The GCD of 7560 and 540 is the product of the least powers of each prime factor in both.

Thus the GCD of 7560 and 540

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

$=540$