Greatest Common Factor with Prime Factors

Greatest Common Factor with Prime Factors

Grade 11th Grade · Math · 40 min· Alberta, Canada

What's Included

Learning Objective

I can determine the greatest common factor of two numbers by using prime factorization.

Warm-Up Video

Math with Mr. J · 8:11

How to Find the GCF using Prime Factorization | Greatest Common Factor | Math with Mr. J

Guided Notes

3 key concepts

  • 1

    The greatest common factor, also known as the GCF, can be found using prime factorization.

  • 2

    To find the GCF of two numbers using prime factorization, first find the prime factorization of both numbers, then identify the common prime factors, and finally multiply those common prime factors.

  • 3

    The GCF of 48 and 72 is 24 because they have three factors of 2 and one factor of 3 in common (2 x 2 x 2 x 3 = 24).

Practice Questions

6 questions · Multiple choice & Short answer

Exit Ticket

Quick comprehension check

Determine the greatest common factor (GCF) of 90 and 126 using prime factorization. Show all steps.

Complete Lesson Package

Get all 3 ready-to-use resources:

Teacher Guide
Student Doc
Slides