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© 2019 by TailorED Instruction Inc.

Factors and Multiples

Plan your

Common Factors and Multiples


Lesson Objective:

Find the greatest common factor of two whole numbers less than or equal to 100 and the least common multiple of two whole numbers less than or equal to 12 and use the distributive property to express a sum of two whole numbers 1-100 with a common factor as a multiple of a sum of two whole numbers with no common factor.

Prior Knowledge

Understand that a multiple is the product of two numbers being multiplied together.

A working understanding of the distributive property.







Understand that a factor is a number that when multiplied with another number results in a product


Differentiate your instruction by grouping your students by their needs and choose the most effective activity for each group

Increase Confidence

Challenge Your Students 

Increase Motivation

Real World GCF

Real World GCF

This activity guides students with scaffolded questions to help them solve real-world examples of greatest common factor.

Real World Examples

Factors/Multiples Practice

Factors/Multiples Practice

This activity breaks down the process of finding GCF and LCM so that students can work step-by-step with prompts.

Structured Worksheet

LCM & GCF Prompts

LCM & GCF Prompts

This activity includes a set of discussion prompts for students to respond to with a partner. Students can journal their ideas after their discussion to deepen their understanding.

Mathematical Discourse

Airport Shuttle

Airport Shuttle

This activity includes two real-world examples where LCM and GCF are used to solve the problem.

Real World Examples

GCF Jeopardy

GCF Jeopardy

A jeopardy game that allows students to select easy, medium and hard questions of GCF.

Math Games

Factorization Venn Diagrams

Factorization Venn Diagrams

This activity introduces students to how to use prime factorization and Venn diagrams as an alternative method to find GCF and LCM.

Student Choice



Notice that students may make factor or multiple lists that are incomplete or only identify one set of factors for a given number.

Students many times confuse when the greatest (factor)/least (multiple) numbers on their lists are needed.

Have students work together to correct each other’s work

Create Your Own Differentiated Lesson

Differentiate your instruction in just minutes by grouping your students and finding the most effective activities based on their holistic needs.