Finding the Greatest Common Factor (GCF) | Monomials & Polynomials Explained - Algebra I/Math 9

In this engaging math tutorial from MathSupport channel ( ⁨@mathsupportnow), we walk through how to find the Greatest Common Factor (GCF) of both monomials and polynomials—a foundational skill used in factoring, simplifying expressions, and solving equations. Perfect for students in Grade 8 to Grade 10, this lesson breaks down the process into clear steps, with plenty of guided examples.

What You’ll Learn in This Video:
✅ What is the Greatest Common Factor (GCF) and why it’s important
✅ How to find the GCF of two or more monomials
✅ Factoring out the GCF from polynomials
✅ Using prime factorization and exponent rules
✅ Common terminology: coefficient, exponent, variable, terms
✅ Step-by-step examples with clear explanations and simplification tips

🚫 Common Mistakes to Avoid:
Only factoring the numbers and forgetting variable parts
Not using exponent rules correctly when comparing variables
Leaving the expression incomplete after factoring out the GCF
Confusing LCM with GCF
Not checking your final answer by distributing back

📌 Practice Challenge – Try This One:
What is the GCF of the following expression?
18x²y³ + 24x³y²
Can you factor it completely? Leave your answer in the comments!

🎯 Who This Video Is For:
✔ Grade 8–10 math students
✔ Algebra learners building factoring skills
✔ Homeschool and self-paced learners
✔ Students reviewing for quizzes, tests, or math competitions
✔ Anyone needing to strengthen foundational algebra

00:00 – Introduction
00:02 – Work with Greatest Common Factors
00:39 – Review: Finding the GCF of Numbers (Grade 8 & 9)
01:44 – Review GCF of Numbers (Example: 6, 9, 12)
01:53 – Find GCF of Monomials (Example 1)
03:34 – Find GCF of Monomials (Example 2)
04:40 – GCF of Polynomials (Factoring Application)
07:38 – Example: Factoring Polynomials with GCF

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More Video lesson on Factoring: https://youtu.be/M5YdWot8hAQ
https://youtu.be/o-keoG1uvig
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Видео Finding the Greatest Common Factor (GCF) | Monomials & Polynomials Explained - Algebra I/Math 9 канала Mathsupport