Chapter 1.3
Mastering Greatest Common Factors (GCF)
Unlock the power of GCF to simplify fractions, solve equations, and boost your math skills. Learn efficient methods like prime factorization to tackle complex problems with confidence.
What You'll Learn
Identify the Greatest Common Factor (GCF) as the largest number dividing two or more numbers
Apply prime factorization to break down numbers into their smallest prime factors
Find common prime factors between numbers and multiply them to determine the GCF
Compare the list method and prime factorization method for finding GCF
Use GCF to simplify fractions by dividing out common factors
What You'll Practice
1
Finding prime factorizations using factor trees or ladder methods
2
Identifying common prime factors between two or three numbers
3
Calculating GCF for small numbers like 8 and 12
4
Solving GCF problems with larger numbers such as 72 and 126
Why This Matters
Finding the GCF is essential for simplifying fractions, solving equations, and working with ratios throughout algebra and beyond. This skill makes complex calculations easier and prepares you for advanced topics like polynomial factoring and rational expressions.
Before You Start — Make Sure You Can:
This Unit Includes
3 Video lessons
Practice exercises
Learning resources
Skills
GCF
Prime Factorization
Factor Trees
Common Factors
Simplifying Fractions
Number Theory
