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Method 1:

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List the factors of each number.

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Factors of 58 : 2, 29, 58

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Factors of 60: 2, 3, 4, 5, 6, 10, 12, 15 ,30 ,60

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Identify the greatest common factor.

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The greatest common factor of 58 and 60 is 2.

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The GCF is 2. So, the numbers are not relatively prime.\"\"

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Method 2:

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Write the prime factorization of each  number.

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58 =  2 × 29.

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60 =  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 = 2.

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 The greatest common factor of 58 and 60 is 2.

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The GCF is 2. So, the numbers are not relatively prime.\"\"

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The greatest common factor of 58 and 60 is 2.