1 answer
(click or scroll down)
To find the greatest common factor (GCF) of the expression \(18j + 27\), we can factor each term.
1. Factor 18 and 27:
- The prime factorization of 18 is \(2 \times 3^2\).
- The prime factorization of 27 is \(3^3\).
2. Now, the factors of each number:
- For 18: \(1, 2, 3, 6, 9, 18\)
- For 27: \(1, 3, 9, 27\)
3. Identify the common factors: \(1, 3, 9\)
4. The greatest of these common factors is \(9\).
Thus, the GCF of \(18j + 27\) is **9**.