🧠 GRE Exam Prep

What is the greatest common divisor (GCD) of 72 and 108?

A 12
B 18
C 24
D 36

✓ Correct Answer: Option D

Prime factorization: 72 = 2³ × 3² and 108 = 2² × 3³. The GCD is found by taking the lowest power of common prime factors: 2² × 3² = 4 × 9 = 36.

💡 Why is D) the correct answer?

The correct answer to the question "What is the greatest common divisor (GCD) of 72 and 108?" is Option D: 36.

The other options — A) 12, B) 18, C) 24 — are incorrect for this GRE Exam Prep question. As explained above: Prime factorization: 72 = 2³ × 3² and 108 = 2² × 3³. The GCD is found by taking the lowest power of common prime factors: 2² × 3² = 4 × 9 = 36.

📚 About This GRE Exam Prep Practice Question

This 1-level GRE Exam Prep question from the Quantitative Reasoning topic is part of BrainForge Quiz's free exam preparation library. Each question includes the correct answer and a detailed explanation to help you understand the underlying concept, not just memorize the answer.

How to use this page: Read the question above, consider all four options (A through D), then check the highlighted correct answer and explanation. For active timed practice, start a free GRE Exam Prep practice test or use flashcards for spaced repetition review.

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