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write 28+24 as a product of two factors using the gcf and distribute property

28+24 = blank (blank+blank)

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To express \( 28 + 24 \) as a product of two factors using the greatest common factor (GCF) and the distributive property, we first need to find the GCF of 28 and 24.

  1. Find the GCF:

    • The prime factorization of 28 is \( 2^2 \times 7 \).
    • The prime factorization of 24 is \( 2^3 \times 3 \).
    • The GCF is the product of the lowest powers of common prime factors. Here, the common prime factor is 2, and the lowest power is \( 2^2 \) (which is 4).

  2. Rewrite the expression using the GCF:

    • We can factor out the GCF from both numbers: \[ 28 + 24 = 4(7) + 4(6) \] \[ = 4(7 + 6) \]

  3. Final form: Thus, we can write: \[ 28 + 24 = 4(7 + 6) \]

So, the final format is: \[ 28 + 24 = 4(7 + 6) \]