Greatest Common Divisor

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Find the *Greatest Common Divisor* (GCD) of the numbers 144 and 1260.

**Answer**

$144=({2}^{4})({3}^{2})$

$1260=({2}^{2})({3}^{2})(5)(7)$

The GCD of 144 and 1260 is the product of the least powers of each prime factor in both.

Thus the GCD of 144 and 1260

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

$=36$