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Home » Taking the square root of both sides, we find: - NBX Soluciones

Taking the square root of both sides, we find: - NBX Soluciones

📅 May 4, 2026 👤 scraface

May 04, 2026

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📌 An archaeologist finds two pottery shards with markings indicating their ages. The first shard is dated to be 84 years old and the second to be 126 years old. What is the greatest common factor of these two ages?

📌 To find the greatest common factor (GCF) of 84 and 126, we first determine their prime factorizations:

📌 \[ 84 = 2^2 \times 3 \times 7 \]

📌 \[ 126 = 2 \times 3^2 \times 7 \]

📌 The GCF is found by taking the lowest power of all common prime factors:

📌 Common primes: 2, 3, 7

📌 Lowest powers: \(2^1\), \(3^1\), \(7^1\)

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