Find the GCF (greatest common factor) of the following terms. \[ \{30,66,42\} \]

To find the greatest common factor (GCF) of the numbers \(30\), \(66\), and \(42\), we can follow these steps: 1. **Find the prime factorization of each number:** - For \(30\): \[ 30 = 2 \times 3 \times 5 \] - For \(66\): \[ 66 = 2 \times 3 \times 11 \] - For \(42\): \[ 42 = 2 \times 3 \times 7 \] 2. **Identify the common prime factors:** - The common prime factors among \(30\), \(66\), and \(42\) are \(2\) and \(3\). 3. **Multiply the common prime factors:** - The GCF is calculated by multiplying the lowest powers of the common prime factors: \[ GCF = 2^1 \times 3^1 = 2 \times 3 = 6 \] Thus, the greatest common factor (GCF) of \(30\), \(66\), and \(42\) is \(6\).