Luyện Tập ƿc -

The number of groups must be a common factor of 48 and 72. To find the maximum number of groups, we find the Calculation: Answer: They can be divided into a maximum of 24 groups. 5. Summary Table Example: (12, 18) Ư (Factor) Numbers a is divisible by Ư(12) = {1, 2, 3, 4, 6, 12} ƯC (Common Factor) Shared factors ƯC(12, 18) = {1, 2, 3, 6} ƯCLN (Greatest CF) Largest shared factor ƯCLN(12, 18) = 6

A number is a common factor of two or more numbers if it is a factor of all those numbers. Example: Factors of 6 are . Factors of 8 are . Their common factors are Luyện tập ƯC

Decompose each number into its prime factors. The number of groups must be a common factor of 48 and 72

Multiply these common prime factors together, each raised to its smallest power found in the factorizations. 4. Practice Exercises (Luyện tập) Problem 1: Find the common factors of 12 and 15. Step 1: Step 2: Answer: Problem 2: Find the Greatest Common Factor of 18 and 24. Factorize: Identify common prime factors: 2 and 3. Smallest powers: 212 to the first power 313 to the first power Calculation: Summary Table Example: (12, 18) Ư (Factor) Numbers

A class has 48 female students and 72 male students. They want to divide into groups so that the number of males and females in each group is equal. What is the maximum number of groups possible?

This is the largest number in the set of common factors. 2. How to Find Common Factors (ƯC) There are two primary methods used in practice: Method 1: Direct Listing (For small numbers) List all factors of each number. Identify the numbers that appear in all lists.