Find the greatest common factor. \[ 5,4 h^{2} \]
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The Deep Dive
To find the greatest common factor (GCF) of \(5\) and \(4h^2\), we first look at the coefficients. The GCF of \(5\) and \(4\) is \(1\) since they have no common factors other than \(1\). Next, we consider the variable part: there is no \(h\) term in \(5\), so we can only take \(h^0\), which is \(1\). Thus, the overall GCF is \(1\). To ensure you fully grasp how to identify the GCF, remember that it involves breaking down numbers into their prime factors. This can be a fun scavenger hunt for numbers! Here, \(5\) is prime, and \(4\) can be broken down into \(2 \times 2\). Since there are no matches, your biggest score is \(1\). Another trick to remember is to always check for variables. When analyzing polynomial expressions, align similar bases and consider their lowest exponent. In this case, since \(h\) isn’t present in both terms, you can't take any from it! Keep practicing with different sets of numbers to sharpen those GCF skills.
