Greatest Common Divisor

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Find the *Greatest Common Divisor* (GCD) of the numbers 12600 and 84.

**Answer**

$12600=({2}^{3})({3}^{2})({5}^{2})(7)$

$84=({2}^{2})(3)(7)$

The GCD of 12600 and 84 is the product of the least powers of each prime factor in both.

Thus the GCD of 12600 and 84

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

$=84$