1300_F2011_Sec_41-filled - Math 1300 Section 4.1 Greatest...

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Math 1300 Section 4.1 1 Greatest Common Factor and Factoring by Grouping (Review) Factoring Definition: A factor is a number, variable, monomial, or polynomial which is multiplies by another number, variable, monomial, or polynomial to obtain a product. Example 1: List all the possible factors of the following numbers: A. 12 B. 32 C. 19 D. -45 In the above, the number 19 is an example of a ____________ number because its only positive factors are one and itself. (Review) Greatest Common Factor Definition: The greatest common factor of two or more numbers is the largest number that divides (goes into) the given numbers with a remainder of zero. Example 2: Find the GCF (greatest common factor) of the following numbers: A. 36 and 54 B. 15 and 60
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Math 1300 Section 4.1 2 C. 21, 42, and 63 D. 28 and 39 Greatest Common Factor of Polynomials In order to find the GCF of two or more monomials, I. Find the GCF of the coefficients; II. Find the GCF of the variables; III. Rewrite the GCF as a product of the GCF of the coefficients times the GCF of the variables.
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