Answer:
[tex]18p^3r[/tex]
[tex]63p^3[/tex]
Step-by-step explanation:
The prime factorization of [tex]45p^4q[/tex] is
[tex]45p^4q=3^2\times 5\times p^4\times q[/tex]
The prime factorization of [tex]18p^3r[/tex] is [tex]18p^3r=2\times 3^2\times p^3\times r[/tex]
The GCF of [tex]45p^4q[/tex] and [tex]18p^3r[/tex] is [tex]3^2\times p^3=9p^3[/tex]
The prime factorization of [tex]27p^4q[/tex] is [tex]3^3\times p^4\times q[/tex]
The GCF of [tex]45p^4q[/tex] and [tex]27p^4q[/tex] is [tex]3^2\times p^4\times q=9p^4q[/tex]
The prime factorization of [tex]36p^3q^6[/tex] is [tex]3^2\times \times 2^2p^3q^6[/tex]
The GCF of [tex]45p^4q[/tex] and [tex]36p^3q^6[/tex] is [tex]3^2\times p^3\times q=9p^3q[/tex]
The prime factorization of [tex]63p^3[/tex] is [tex]3^2\times 7\times p^3[/tex].
The GCF of [tex]45p^4q[/tex] and [tex]63p^3[/tex] is [tex]3^2\times p^3=9p^3[/tex]
The prime factorization of [tex]72p^3q^6[/tex] is [tex]2^3\times 3^2p^3q^6[/tex]
The GCF of [tex]45p^4q[/tex] and [tex]72p^3q^6[/tex] is [tex]3^2\times p^3\times q=9p^3q[/tex]
