Greatest common factor of
4x^2y^3 and 6xy^2
I don't understand
2xy^2
after factor removed
2xy and 3 are left
2xy^2 is the greatest factor of
4x^2y^3 and 6xy^2
after you factor 2xy^2 from
4x^2y^3 and 6xy^2
2xy and 3 remain
Simplify:
2x^2y^5/
8x^3y^5
To find the greatest common factor (GCF) of two expressions, we need to identify the highest power of each common factor that appears in both expressions.
Let's break down the two expressions:
4x^2y^3 can be written as (2 * 2) * x^2 * y^3.
6xy^2 can be written as (2 * 3) * x * y^2.
To find the GCF, we look for the common factors in both expressions. The common factors are 2, x, and y^2. However, we need to determine the highest power of each common factor that appears in both expressions.
From the first expression, we can see that the highest power of 2 is 2^1 = 2.
From the second expression, we can see that the highest power of x is x^1 = x.
From the first expression, we can see that the highest power of y^2 is y^2.
Therefore, the GCF of 4x^2y^3 and 6xy^2 is 2xy^2.