Find the greatest common factor of 15x 2 y 3 and -18x 3 yz. Question Find the greatest common factor of 15x 2 y 3 and -18x 3 yz. in progress 0 All 6 months 2022-05-20T09:09:11+00:00 2022-05-20T09:09:11+00:00 2 Answers 0

## Answers ( 2 )

Answer:Greatest common factor of [tex]15x^2y^3[/tex] and [tex]-18x^3yz[/tex] is [tex]3x^2y[/tex]

Step-by-step explanation:Greatest common factor is the common factor for two or more numbers such that greatest common factor divides both the number.We find Greatest common factor bydoing prime factorization and thentaking common factors from all the factors andif they do not have nay term common then Greatest common factor is 1.Given Numbers are [tex]15x^2y^3[/tex] and [tex]-18x^3yz[/tex]

First we do prime factorization of [tex]15x^2y^3[/tex].

15 can be written as product of prime 3 and 5, so

[tex]15x^2y^3=3 times 5 times xtimes x times y times y times y[/tex]

and Similarly, [tex]-18x^3yz[/tex] can be written as,

[tex]-18x^3yz=-3 times 3times 2 times xtimes x times xtimes ytimes z[/tex]

Thus, taking common from both the terms,we get,

Greatest common factor as [tex]3x^2y[/tex]Multiply the GCF of the numerical part 3 and the GCF of the variable part x^2y to get

3x^2y.