Factor Algebraic Expressions Quick Check

Find the GCF of 18j + 27.
A: 18
B: 3
C: 54
D: 9

1 answer

To find the greatest common factor (GCF) of the expression \( 18j + 27 \), we first identify the coefficients of the terms.

The coefficients are:

  • 18 (from \( 18j \))
  • 27 (from the constant term)

Now, we find the GCF of 18 and 27.

The factors of 18 are: \( 1, 2, 3, 6, 9, 18 \)

The factors of 27 are: \( 1, 3, 9, 27 \)

The common factors are: \( 1, 3, 9 \)

The greatest of these is 9.

Thus, the GCF of \( 18j + 27 \) is 9.

So the correct answer is D: 9.

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