Solution: To find the greatest common factor (GCF) of 72 and 168, we first perform prime factorization:

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**Write the article as informational and trend-based content, prioritizing curiosity, neutrality, and user education over promotion.** --- **Why Understanding the Greatest Common Factor Matters in Everyday Math—and Beyond** When students first encounter divisibility problems in school, factoring numbers into their building blocks often feels like a puzzle waiting to be solved. One of the most frequently explored examples involves the numbers 72 and 168. What makes finding the greatest common factor (GCF) of these two integers so relevant today? In a digitally driven US classroom and learning culture, where STEM literacy and problem-solving skills shape educational solutions, grasping GCF is more than a textbook exercise—it’s a foundational tool for logical thinking and practical decision-making across many fields.