Find the GCF (greatest common factor) of the following terms. \[ \left\{33,11 x^{4}\right\} \]

The GCF of 33 and \( 11x^4 \) can be found by first determining the GCF of the numerical coefficients. The factors of 33 are 1, 3, 11, and 33, while the factors of 11 are 1 and 11. The largest common factor here is 11. Thus, the GCF of the expression would be \( 11 \), since \( x^4 \) is only part of one term and does not contribute to the GCF. So, the GCF of \( \{33, 11x^{4}\} \) is \( 11 \).