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Apply the distributive property to factor out the greatest common factor. 16 g+20 h=

Apply the distributive property to factor out the greatest common factor.\newline16g+20h= 16 g+20 h=

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Full solution

Q. Apply the distributive property to factor out the greatest common factor.\newline16g+20h= 16 g+20 h=
  1. Identify GCF of Coefficients: Identify the greatest common factor (GCF) of the numerical coefficients 1616 and 2020. To find the GCF of 1616 and 2020, we list the factors of each number: Factors of 1616: 11, 22, 44, 88, 1616 Factors of 2020: 11, 22, 44, 202044, 202055, 2020 The greatest common factor is the largest factor that both numbers share. The GCF of 1616 and 2020 is 44.
  2. List Factors: Factor out the GCF from the given expression.\newlineWe have the expression 16g+20h16g + 20h, and we have determined that the GCF is 44.\newlineNow we divide each term by the GCF and factor it out:\newline16g÷4=4g16g \div 4 = 4g\newline20h÷4=5h20h \div 4 = 5h\newlineSo, the factored expression is 4(4g+5h)4(4g + 5h).

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