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Method 1:

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List the factors of each number.

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Factors of 120 : 2, 3, 4, 5, 6, 10, 12, 24, 30, 40, 60, 120 \ \

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Factors of 960 : 2, 3, 4, 5, 10, 12, 20, 24, 30, 40, 48, 96, 120, 240, 480, 960 \ \

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Identify the greatest common factor.

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The greatest common factor of 120 and 960 is 120.\"\"

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Method 2:

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Write the prime factorization of each  number.

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120 =  2 × 2 × 2 × 3 × 5.

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960 =  2 × 2 × 2 × 2 × 2 × 2 × 3 × 5.

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

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GCF = 120.

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The greatest common factor of 120 and 960 is 120.\"\"

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The greatest common factor of 120 and 960 is 120.