
Finding Greatest Common Factors Together
Grade 6 Mathematics 30-minute lesson I can find the GCF of two numbers!

What Are Factors?
Numbers that divide evenly into another number No remainders when dividing Example: Factors of 12 are 1, 2, 3, 4, 6, 12 Let's review together!

Key Definition
The Greatest Common Factor (GCF) is the biggest number that goes evenly into two or more numbers.

Real-Life GCF Problem
Two friends have candies: Friend 1: 12 candies Friend 2: 18 candies They want equal groups with no leftovers What's the biggest group size they can make?

Let's Find the GCF Together!
Step 1: List factors of 24 Step 2: List factors of 36 Step 3: Circle common factors Step 4: Find the greatest one!

Guided Practice - Finding Factors
{"left":"Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24\nFactors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36","right":"Common factors: 1, 2, 3, 4, 6, 12\nGreatest Common Factor: 12"}

Your Turn - Practice Problems
Problem 1: Find GCF of 18 and 27 Problem 2: Find GCF of 20 and 50 Problem 3: Find GCF of 14 and 35 Use your sentence frames to explain!

Success! What Did We Learn?
I can list factors of two numbers I can find common factors I can identify the greatest common factor I can explain my thinking using math language Next: We'll learn about Least Common Multiple!