Find the GCF (greatest common factor) of the following terms. \[ \left\{2 x^{4}, 22\right\} \]

Step 1 ：Find the GCF (greatest common factor) of the following terms: \(\left\{2 x^{4}, 22\right\}\).

Step 2 ：The GCF of two numbers is the largest number that divides both of them without leaving a remainder.

Step 3 ：In this case, we are looking for the GCF of \(2x^4\) and 22.

Step 4 ：We can find the GCF by factoring each term and then finding the common factors.

Step 5 ：Factor the first term: 2

Step 6 ：Factor the second term: 22

Step 7 ：The GCF of 2 and 22 is 2.

Step 8 ：However, we also need to consider the variable part of the first term, which is \(x^4\).

Step 9 ：Since the second term does not contain the variable x, the GCF does not include x.

Step 10 ：Final Answer: The GCF of \(2x^4\) and 22 is \(\boxed{2}\).