find the greatest common factor of these expressions
20v^7 u^3 and 16x^6 v^4 u^5
what I see as common is
4 u^3 v^4
20 v^7 u^3
16 x^6 v^4 u^5
GCF of 16 and 20: 4
GCF of v^7 and v^4 : v^4
GCF of u^3 and u^5 : u^3
Thus, the GCF is the product of the three, which is equal to 4 v^4 u^3.
hope this helps :3
To find the greatest common factor (GCF) of the expressions 20v^7u^3 and 16x^6v^4u^5, we need to determine the highest power of each variable that appears in both expressions.
Let's break down each expression into its prime factors:
20v^7u^3 = (2^2)(5)(v^7)(u^3)
16x^6v^4u^5 = (2^4)(x^6)(v^4)(u^5)
Now, we can identify the common factors:
Both expressions have a common factor of 2 (2^2 in the first expression and 2^4 in the second expression).
Both expressions have the variables v, u, and no common factors of x or any other variables.
Taking the common factors into account, the GCF is:
GCF = 2 * v^4 * u^3
Therefore, the greatest common factor of the expressions 20v^7u^3 and 16x^6v^4u^5 is 2v^4u^3.