# Common Factors Worksheets

How Do You Find Common Factors Between Two Integers? By finding the common factors between the two integers, you simplify many mathematical steps for further calculation. One of the major benefits of finding common factors is when you’re resolving fractions. Now, there are different ways to find the greatest common factors; thus, let’s discuss them accordingly. The first method is the simplest, in which we list down all the factors of each integer and then identify the common ones together. However, other methods are usually used for finding the greatest common factor which makes the first method the best one to use.

• ### Basic Lesson

Demonstrates how to determine common factors in an equation. Factor: 5x - 30 The largest factor of 5 and 30 is 5. Since the terms do not contain a variable (x) in common, we cannot factor any variables.

• ### Intermediate Lesson

Explores how to factor large polynomials. Factor: 3y(y + 2) - 4(y + 2) The greatest common factor of these two terms is (y+2).

• ### Independent Practice 1

Contains 20 Common Factors problems. The answers can be found below.

• ### Independent Practice 2

Features another 20 Common Factors problems.

• ### Homework Worksheet

Common Factors problems for students to work on at home. Example problems are provided and explained. The largest number that will divide evenly into 4,6,2 and 2 The highest power of a present in each term is a.<

• ### Topic Quiz

See how well you understand this skill.

• ### Homework and Quiz Answer Key

Answers for the homework and quiz.

• ### Lesson and Practice Answer Key

Answers for both lessons and both practice sheets.

#### Question: Why are 'x' & 'y' normally used when doing algebra?

Answer: In algebra, x and y are used to signify the axes on a coordinate plane. They are also used as variables in an equation, which means they can be replaced with any numeral that makes sense in relation to the equation.