Greatest Common Divisor

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Find the *Greatest Common Divisor* (GCD) of the numbers 350 and 3150.

**Answer**

$350=(2)({5}^{2})(7)$

$3150=(2)({3}^{2})({5}^{2})(7)$

The GCD of 350 and 3150 is the product of the least powers of each prime factor in both.

Thus the GCD of 350 and 3150

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

$=350$