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Method 1:

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List the factors of each number.

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Factors of 28: 2, 4, 7, 14, 28

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Factors of 42: 2, 3, 6, 7, 14, 42 \ \

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Identify the greatest common factor.

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The greatest common factor of 28 and 42 is 14.

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Method 2:

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Write the prime factorization of each  number.

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28 =  2 × 2 × 7 .

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42 =  2 ×  3 × 7.

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The GCF is the product of the common prime factors in each number.

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GCF = 2 × 7  = 14.

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 The greatest common factor of 28 and 42 is 14.

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The greatest common factor of 28 and 42 is 14.

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