Question

Determine the greatest common factor of 15xy^7z and 30x^2y^7z

Answer 1

Answer:

$15x {y}^{7} z$

Step-by-step explanation:

Factorize the Expressions

$15x {y}^{2} z = 3 \times 5 \times x \times y \times y \times y \times y \times y \times y \times y \times z$

$30 {x}^{2} {y}^{7} z = 2 \times 3 \times 5 \times x \times x \times y \times y \times y \times y \times y \times y \times y \times z$

Factor out the Common Factors

$gcf = 3 \times 5 \times x \times y \times y \times y \times y \times y \times y \times y \times z$

Multiply the Common Factors

$3 \times 5 \times x \times y \times y \times y \times y \times y \times y \times y \times z = 15x {y}^{7} z$

The Factored expressions are

$15x {y}^{7} z$

And

$15x {y}^{7} (2x)$