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There cannot be a greatest common factor (GCF) of just one number. To be common there need to be at least two numbers. If you find all the factors of two or more numbers, and you find some factors are the same ("common"), then the largest of those common factors is the Greatest Common Factor.

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Q: How do you find the GCF of 27 by the prime factorization?
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What is the GCF for 27 and 49?

Prime factorization of 27 = 3x3x3 Prime factorization of 49 = 7x7 From the prime factorizations it is clear that gcf is 1.


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The GCF of 18, 27, and 63 is 9. The prime factorization of 18 is 2*3*3 The prime factorization of 27 is 3*3*3 The prime factorization of 63 is 3*3*7 The GCF is 3*3 = 9.


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What is the prime factorization in exponent form of 27?

The prime factorization in exponent form of 27 is: 33 = 27


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