Answer
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Step 1: Identify the prime factors of each number.
The prime factors of 30 are 2, 3, and 5. The prime factors of 54 are 2 and 3^3 (since 27 is a prime factor, it can be written as 3^3).
Step 2: Identify the common prime factors and their maximum powers.
The common prime factors are 2 and 3. The maximum power of 2 is 1 (since it only appears once in both numbers). The maximum power of 3 is 3 (since it appears three times in 54 and once in 30).
Final Answer
The GCF of 30 and 54 is 54.
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