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Method 1:

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List the factors of each number.

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Factors of 32 : 2, 4, 8, 16, 32

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Factors of 55 : 5, 11, 55

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Identify the greatest common factor.

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There are  no common prime factors.Two numbers always have 1 as a common factor.

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So, the GCF is 1\"\"

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Method 2:

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Write the prime factorization of each  number.

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32 = 2 × 2 × 2 × 2 × 2.

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55 = 5 × 11.

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There are  no common prime factors.Two numbers always have 1 as a common factor.

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So, the GCF is 1\"\"

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There are  no common prime factors.Two numbers always have 1 as a common factor.

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So, the GCF is 1 \ \