Problem

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

Answer

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Answer

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

Steps

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 \(\boxed{2}\).

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