The answer is: 2n .
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The greatest common factor (GCF) of 34n and 8n² is: 2n .
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Explanation:
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First, break down EACH term into prime factors:
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Start with the first term given: "34n" :
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34n = 17 * 2 * n
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Now, do so with the second term given: "8n² " :
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8n² = 2 * 2 * 2 * n * n
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Now, look for factors that exist in EACH of the two terms:
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In the term: "34n"; there is a "17", and a "2" and a "n" — and that's it!
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In the term: "8n² " that is a "2" and an "n".
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So: 2 * n = 2n ; which is our answer:
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The greatest common factor (GCF) of 34n and 8n² is: 2n .
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