Question
What is the greatest common factor of 4xy^2 and 20x^2y^4 4xy 4xy^2 24xy 24xy^2
Solution
4.2
(217 Votos)
Josiel
Mestre · Tutor por 5 anos
Resposta
To find the greatest common factor (GCF) of
and
, we need to find the highest power of each variable that divides both terms.Step 1: Find the GCF of the coefficients.The GCF of 4 and 20 is 4.Step 2: Find the GCF of the variables.For the variable x, the lowest power is 1 (in
) and the highest power is 2 (in
). Therefore, the GCF for x is
or simply x.For the variable y, the lowest power is 2 (in
) and the highest power is 4 (in
). Therefore, the GCF for y is
.Step 3: Combine the GCFs of the coefficients and variables.The GCF of
and
is
.Therefore, the correct answer is
.