Question

Find the highest common factors of the given terms:

$3x^2{y}^3,10x^3{y}^2,6x^2{y}^{2}z$

• A. $x^2{y}^2$
• B. $x^{2}yz$
• C. $x{y}^{2}z$
• D. $xy$

Answer 1

The correct option is A $x^2{y}^2$

$3x^2{y}^3$, $10x^3{y}^2$, $6x^2{y}^{2}z$
The factors of $3x^2{y}^3=3\times x\times x\times y\times y\times y$
The factors of $10x^3{y}^2=2\times 5\times x\times x\times x\times y\times y$
The factors of $6x^2{y}^{2}z=2\times 3\times x\times x\times y\times y\times z$
Thus, the common factors are $x\times x\times y\times y=x^2{y}^2$