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Enter the sum of the numbers as the product of the GCF and another sum30 + 24. The sum of the numbers as a product of the GCF is​:_________

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Final answer:

To find the sum of the numbers represented by the expression 30 + 24 as a product of the greatest common factor (GCF), we first need to determine the GCF of 30 and 24. The GCF is 6, so the sum of the numbers as a product of the GCF is 324.

Step-by-step explanation:

  • To find the sum of the numbers represented by the expression 30 + 24 as a product of the greatest common factor (GCF), we first need to determine the GCF of 30 and 24.
  • The GCF is the largest number that divides evenly into both 30 and 24. We can find the GCF by listing the factors of each number and identifying the largest common factor.
  • For 30, the factors are 1, 2, 3, 5, 6, 10, 15, and 30. For 24, the factors are 1, 2, 3, 4, 6, 8, 12, and 24.
  • The largest number that appears in both lists is 6, so the GCF of 30 and 24 is 6.
  • Next, we multiply the GCF (6) by the sum of the numbers (30 + 24) to find the sum as a product of the GCF. 6 * (30 + 24) = 6 * 54 = 324.
  • Therefore, the sum of the numbers as a product of the GCF is 324.

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User Elliot Kroo
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