Factoring Out the GCF Math Example 3

Follow the full solution, then compare it with the other examples linked below.

Example 3

easy
Factor 10x+1510x + 15.

Solution

  1. 1
    GCF of 10 and 15 is 5.
  2. 2
    10x+15=5(2x+3)10x + 15 = 5(2x + 3).

Answer

5(2x+3)5(2x + 3)
Even when there's no variable GCF, factoring out the numerical GCF simplifies the expression and is an essential first step in more complex factoring.

About Factoring Out the GCF

Factoring out the greatest common factor (GCF) means identifying the largest expression that divides every term, then rewriting the polynomial as that GCF times what remains.

Learn more about Factoring Out the GCF →

More Factoring Out the GCF Examples

Example 1 easy

Factor [formula].

Example 2 medium

Factor [formula].

Example 4 hard

Factor [formula].

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