Math 1300 Section 4.1 Page 1of 8Math 1300 Section 4.1 Greatest Common Factor and Factoring by Grouping Greatest Common Factor We talked about the greatest common factor of two or more numbers earlier in the course. In this section we are going to extend this concept to polynomials. GCF of Numbers Example 1: Find the GCF of 48 and 60 Example 2: Find the GCF of 28 and 45
Math 1300 Section 4.1 Page 2of 8Now, let’s look at the greatest common factor for two or more monomials Example 3: Find the GCF of 234a band 56abExample 4: Find the GCF of 2218x y, 3108x yand 4348x y
Math 1300 Section 4.1 Page 3of 8Example 5: Find the GCF of 515xand 30 Now, when these monomials are combined to make a polynomial, we can still ask what is the GCF of all the terms in the polynomial?