Find factors, multiples, common factors, and common multiples to solve numerical and contextual problems.
Translate shared-number language into arithmetic
Problem
What is the greatest number that divides both \(18\) and \(30\) evenly?
Big Picture
What this problem is really about
The phrase “divides both evenly” tells us to look for common factors, and “greatest” tells us where to stop. We’ll list the factors of eighteen and thirty, compare the overlap, and identify its largest member. Whole-number quotients for both original values then verify that the shared divisor works.
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