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GCF of variables with exponents
The GCF is the common variable with smallest exponent.
example
9x4 - 27x6
the gcf is 9X4
because:
9x4 (1-3x2) = 9x4 - 27x6
In the same way:
X5 is the GCF of X10 + x5 -x6
Because X5 ( X5 + 1 -x1) = X10 + x5 -x6
Remember the exponent rule if you are multiplyin the same base, you keep the base and add the exponents
Hope this helps
Btw this does not help me!
anna
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What is the greatest common factor of letters with exponents?
Just choose the smaller exponent. The GCF of a3 and a5 is a3
What is the greatest common factor of A B C?
Variables can be any number, leaving an infinite number of GCF possibilities.
How do you find the Greatest Common Factor of an algebraic expression?
Let's try one. 30x2y3z4 + 42x4y5z2 Do the numbers first. Factor them. 2 x 3 x 5 = 30 2 x 3 x 7 = 42 Select the common factors. 2 x 3 = 6 For the variables, select the lowest exponents. The GCF of the above expression is 6x2y3z2
24 is the greatest common factor of what number?
24 is not the greatest common factor of any single number. Common factors are the factors that two or more numbers have in common. The greatest common factor is the largest factor that two or more numbers have in common. There cannot be any common factors or a greatest common factor of a single number. There must be at least two number for common factors and a greatest common factor. Example: The greatest common factor of 24 and 48 is 24. The greatest common factor of 60 and 144 is 24. The greatest common factor of 240 and 264 is 24.
Why is there no Least Common factor if there is Greatest Common Factor?
The least common factor is always one (1), regardless of what the greatest common factor is.
