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Find the greatest common factor. $\newline$ $6t^3, 9t$ $\newline$ Write your answer as a constant times a product of single variables raised to exponents. $\newline$ $\_\_$

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GCF of monomials

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Q. Find the greatest common factor.

\newline

6t^3, 9t

\newline

Write your answer as a constant times a product of single variables raised to exponents.

\newline

\_\_

Factorization of $6t^3$ : First find the complete factorization of $6t^3$ . $\newline$ $6 = 2 \times 3$ $\newline$ $t^3 = t \times t \times t$ $\newline$ $6t^3 = 2 \times 3 \times t \times t \times t$
Factorization of $9t$ : Now, find the complete factorization of $9t$ . $9 = 3 \times 3$ $t = t$ $9t = 3 \times 3 \times t$
Find Greatest Common Factor: We found: $\newline$ $6t^3 = 2 \times 3 \times t \times t \times t$ $\newline$ $9t = 3 \times 3 \times t$ $\newline$ Find the greatest common factor of $6t^3$ and $9t$ . $\newline$ Common factors are $3$ and $t$ . $\newline$ $3 \times t = 3t$ $\newline$ Greatest common factor: $3t$

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