Find the GCF of 18j+27

.(1 point)

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
2 days ago

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

  1. The coefficients are 18 and 27.

  2. The GCF of 18 and 27 can be found by listing their factors:

    • Factors of 18: 1, 2, 3, 6, 9, 18
    • Factors of 27: 1, 3, 9, 27
  3. The common factors are 1, 3, and 9. Thus, the greatest common factor is 9.

Next, we can also factor out the GCF from the expression:

\[ 18j + 27 = 9(2j + 3) \]

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