Identify the greatest common factor of \( 12 x^{2} \) and \( 10 b^{3} x^{4} \)
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To find the greatest common factor (GCF) of the terms \( 12x^2 \) and \( 10b^3x^4 \), we start with the numerical coefficients. The GCF of 12 and 10 is 2. Next, we look at the variable components. The GCF for \( x^2 \) and \( x^4 \) is \( x^2 \) since it's the lowest power of \( x \) present in both terms. The term \( b^3 \) does not have a corresponding factor in the first term, so it’s not included in the GCF. Thus, the GCF is: \[ 2x^2 \]
