8. Factor Linear Expressions
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Find the product of the common prime factors.
27s
The greatest common factor (GCF) is the greatest algebraic expression that is a factor of two or more expressions. The first step for finding a GCF is to break down each number into its prime factors. We will write down all of the prime factors that are common between the given numbers.
| Given Expression | Prime Factorization | Common Prime Factors |
|---|---|---|
| 27s | 3* 3* 3* s | 3, 3, 3, s |
| 54st | 2 * 3* 3* 3* s * t | 3, 3, 3, s |
For the given expressions, the common prime factors are 3, 3, 3, and s. The next step is to calculate the product of these factors. 3* 3* 3* s = 27s