Problem preview
MF.NS.5 Standard MF-005-A03-V01

Find factors, multiples, common factors, and common multiples to solve numerical and contextual problems.

Find common factors or the GCF

Problem

Find the greatest common factor of \(24\) and \(36\).

Big Picture

What this problem is really about

A common factor must divide both numbers evenly, and the greatest one is the largest shared divisor. We’ll build the factor sets for twenty-four and thirty-six, identify their overlap, and take the largest member of that overlap. Dividing both original numbers by it provides a final check.

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Four variants of this problem type
Curriculum context
Standard
MF.NS.5
Category
Number Sense
Domain
Whole-Number Structure
Objective
Find factors, multiples, common factors, and common multiples to solve numerical and contextual problems.
Problem type
Find common factors or the GCF