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Factor 24nāˆ’32

24
š‘›
āˆ’
32
using the GCF

1 answer

To factor the expression \( 24n - 32 \) using the greatest common factor (GCF), we first need to identify the GCF of the coefficients 24 and 32.

  1. Find the GCF of 24 and 32:

    • The factors of 24 are: \( 1, 2, 3, 4, 6, 8, 12, 24 \)
    • The factors of 32 are: \( 1, 2, 4, 8, 16, 32 \)
    • The greatest common factor is: \( 8 \)

  2. Factor out the GCF:

    • We can factor \( 8 \) from each term in the expression \( 24n - 32 \): \[ 24n - 32 = 8(3n - 4) \]

So, the factored form of \( 24n - 32 \) is: \[ 8(3n - 4) \]