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What is the greatest common factor of
44c^(5),22c^(3), and
11c^(4) ?

What is the greatest common factor of $44 c^{5}, 22 c^{3}$ , and $11 c^{4}$ ?

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Greatest common factor of three or four numbers

Full solution

Q. What is the greatest common factor of

44 c^{5}, 22 c^{3}

, and

11 c^{4}

?

List prime factors: List the prime factors of each term. $\newline$ $44c^{5}$ can be factored into $2 \times 2 \times 11 \times c \times c \times c \times c \times c$ . $\newline$ $22c^{3}$ can be factored into $2 \times 11 \times c \times c \times c$ . $\newline$ $11c^{4}$ can be factored into $11 \times c \times c \times c \times c$ .
Identify common factors: Identify the common prime factors. $\newline$ The common prime factors of $44c^{5}$ , $22c^{3}$ , and $11c^{4}$ are $11$ and $c \cdot c \cdot c$ (or $c^{3}$ ).
Determine greatest common factor: Determine the greatest common factor (GCF). $\newline$ The GCF is the product of the common prime factors. $\newline$ GCF = $11 \cdot c^{3}$

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