Greatest Common Divisor

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Find the *Greatest Common Divisor* (GCD) of the numbers 560 and 36.

**Answer**

$560=({2}^{4})(5)(7)$

$36=({2}^{2})({3}^{2})$

The GCD of 560 and 36 is the product of the least powers of each prime factor in both.

Thus the GCD of 560 and 36

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

$=4$