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Consider the expression:

18j + 27

The greatest common factor (GCF) is

1 answer

To find the greatest common factor (GCF) of the expression \(18j + 27\), we need to identify the GCF of the numerical coefficients, which are 18 and 27.

  1. Find the factors of 18:

    • The factors of 18 are: 1, 2, 3, 6, 9, 18.

  2. Find the factors of 27:

    • The factors of 27 are: 1, 3, 9, 27.

  3. Identify the common factors:

    • The common factors of 18 and 27 are: 1, 3, 9.

  4. Determine the greatest common factor:

    • The greatest of the common factors is 9.

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