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Method 1:

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List the factors of each number.

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Factors of 24: 2, 3, 4, 6, 8, 12, 24

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Factors of 40: 2, 4, 5, 8, 10, 20, 40

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Identify the greatest common factor.

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The greatest common factor of 24 and 40 is 8.

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Method 2:

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Write the prime factorization of each  number.

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24 =  2 × 2 × 2 × 3.

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40 =  2 × 2 × 2 × 5.

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

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GCF = 2 × 2 × 2  = 8.

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The greatest common factor of 24 and 40 is 8.

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The greatest common factor of 24 and 40 is 8.

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