Answer
$a^5(31ab^3+63)$
Work Step by Step
Find the greatest common factor. Find the prime factors of each term and multiply the factors that are common to all the terms.
$31a^6b^3=31\times\underline a\times\underline a\times\underline a\times\underline a\times\underline a\times a\times b\times b\times b$
$63a^5=63\times\underline a\times\underline a\times\underline a\times\underline a\times\underline a$
GCF$=a\times a\times a\times a\times a=a^5$
Factor the GCF out of each term. Use the factors from each term that are not part of the GCF.
$31a^6b^3+63a^5=a^5(31ab^3+63)$
