Answer:
The greatest common factor of given terms is [tex]15x^3y[/tex].
Step-by-step explanation:
The given terms are
[tex]60x^4y^7,45x^5y^5,75x^3y[/tex]
The factored form of each term is
[tex]60x^4y^7=2\times 2\times 3\times 5\times x\times x\times x\times x\times y\times y\times y\times y\times y\times y\times y[/tex]
[tex]45x^5y^5=3\times 3\times 5\times x\times x\times x\times x\times x\times y\times y\times y\times y\times y[/tex]
[tex]75x^3y=3\times 5\times 5\times x\times x\times x\times y[/tex]
The greatest common factors are 3,5,x,x,x and y.
[tex]GCF=3\times 5\times x\times x\times x\times y[/tex]
Therefore the greatest common factor of given terms is [tex]15x^3y[/tex].
