Greatest Common Divisor

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Find the *Greatest Common Divisor* (GCD) of the numbers 280 and 160.

**Answer**

$280=({2}^{3})(5)(7)$

$160=({2}^{5})(5)$

The GCD of 280 and 160 is the product of the least powers of each prime factor in both.

Thus the GCD of 280 and 160

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

$=40$