Greatest Common Factor Concepts

Stefan introduces the concept of finding the greatest common factor (GCF) for fifth graders. He demonstrates how to factor the numbers 24 and 36, breaking them down into their prime factors. By identifying common factors, he explains how to determine the GCF, which in this case is 12. The video concludes with a summary of the steps involved in finding the GCF.

What is the main topic of Stefan's lesson?

• Finding the least common multiple

• Finding the greatest common factor

• Solving quadratic equations

• Understanding fractions

Which two numbers are used in the example to find the greatest common factor?

• 30 and 45

• 24 and 36

• 15 and 25

• 12 and 18

What is the first step in factorizing the number 24?

• Divide by 3

• Divide by 4

• Divide by 2

• Divide by 5

After dividing 24 by 2, what is the next number obtained?

• 6

• 12

• 3

• 9

What is the final factorization of 24?

• 2^2 x 3^2

• 3^2 x 2

• 2^3 x 3

• 2 x 3

What is the first step in factorizing the number 36?

• Divide by 3

• Divide by 4

• Divide by 2

• Divide by 5

After dividing 36 by 2, what is the next number obtained?

• 6

• 12

• 9

• 18

What is the final factorization of 36?

• 2^3 x 3

• 3^2 x 2

• 2^2 x 3^2

• 2 x 3

Which common factor is found in both 24 and 36?

• 2

• 3

• 7

• 5

What is the highest degree of the common factor 2 in both numbers?

• 2^1

• 2^2

• 2^3

• 2^4