To factor out the greatest common factor (GCF) of the polynomial \(37r^2 + 49\), we first need to identify the GCF of the coefficients.
The coefficients are 37 and 49. The GCF of 37 and 49 is 1, since 37 is a prime number and does not divide 49.
Since the GCF is 1, we can just rewrite the polynomial as it is:
\[ 37r^2 + 49 \]