Respuesta :
Multiply the GCF of the numerical part 3 and the GCF of the variable part x^2y to get
3x^2y.
3x^2y.
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 by
- doing prime factorization and then
- taking common factors from all the factors and
- if 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 x\times x \times y \times y \times y[/tex]
and Similarly, [tex]-18x^3yz[/tex] can be written as,
[tex]-18x^3yz=-3 \times 3\times 2 \times x\times x \times x\times y\times z[/tex]
Thus, taking common from both the terms,we get,
Greatest common factor as [tex]3x^2y[/tex]
