Answer :
The greatest common factor of the expression is the expression that could divide both the numerical coefficients and the variables. The GCF of the numerical coefficients is 7 and that of the variables is x². Thus, the final GCF is 7x². The answer is letter D.
The greatest common factor (GCF) of [tex]35x^6[/tex] and 7x² is D. 7x²
To find the GCF of two or more monomials, we need to identify the highest power of each common variable factor and the greatest common numerical factor.
First, let's consider the numerical coefficients.
The numerical coefficients are 35 and 7.
The greatest common numerical factor of 35 and 7 is 7.
Next, we look at the variable factors.
Both expressions have the variable x, so we identify the smallest exponent of x that appears in both expressions.
The exponents of x in the two expressions are 6 and 2.
The smallest of these is 2.
Therefore, the greatest common factor of [tex]35x^6[/tex] and 7x² is the product of the greatest common numerical factor and the smallest power of the common variable factor, which is 7x²
Thus, the GCF is 7x²
