guzinta math greatest common factor

Guzinta Math 6th grade Common Core lesson apps are compact math lesson plans designed to supplement your school or home mathematics instruction. Each math lesson plan contains detailed instructor notes to provide guidance and facilitate discussion about concepts between you and your student or students. Lesson plans feature video instruction, worked examples, guided practice, and some lesson plans feature interactive instructional simulations to help achieve peak cognitive engagement! Bookmark Guzinta Math and come back to see what's new. We'll be adding conceptual practice and science connections to each lesson plan, extending the suite of lesson apps, and much more.


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In this lesson, students will learn how to determine the greatest common factor of two numbers using two strategies: (1) listing the factors of each number and (2) determining the factors of the difference of the numbers and then choosing one of those factors as the greatest common factor (or GCF). Students will use the GCF to simplify ratios in one step.

Module 1 Video

In this video, both strategies for determining GCF are mentioned: listing the factors of both numbers and choosing a factor of the difference of the numbers.

Module 2 Video

In this video, multiple, common multiple, and least common multiple are defined with an example. There is no greatest common multiple. The method of multiplying two numbers and dividing by their GCF to get their LCM is mentioned.

You can have students raise and discuss questions about the video and allow students the opportunity to work through one or two different examples they can think of (different number pairs).
gcf and lcm
Working with GCF and LCM.
guzinta math greatest common factor least common multiple