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Home » Discover the Ultimate Hero Quest You Never Knew Existed—Now Play! - Londonproperty

Discover the Ultimate Hero Quest You Never Knew Existed—Now Play! - Londonproperty

📅 March 14, 2026 👤 scraface

Mar 14, 2026

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📌 To find the greatest common factor (GCF) of 78 and 91, we begin with their prime factorizations.

📌 Factor 78:

📌 = 2 \times 3 \times 13

📌 Factor 91:

📌 = 7 \times 13

📌 The only common prime factor is 13. Therefore, the GCF is:

📌 \]**Question:** A robotics engineer is programming a robot to navigate a rectangular grid. If the robot starts at the origin \((0,0)\) and moves to the point \((m,n)\) by only moving right or up, what is the number of distinct paths the robot can take? Express your answer in terms of \(m\) and \(n\).

📌 Solution:** The problem can be solved using combinatorics. The robot needs to make a total of \(m + n\) moves: \(m\) moves to the right and \(n\) moves up. The number of distinct paths is equivalent to the number of different ways to arrange these moves, which is given by the binomial coefficient:

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