GCF and Prime Factorization Concepts

Miss Dri guides students through lesson 1.4 on the greatest common factor (GCF). The tutorial explains how to find the GCF using prime factorization and apply it with the distributive property to express sums as products. The example of numbers 20 and 35 is used to demonstrate the process, including finding prime factors, calculating the GCF, and verifying the solution by checking calculations.

What does GCF stand for?

• Greatest Common Factor

• Greatest Common Fraction

• Greatest Common Formula

• Greatest Common Function

What is the first step in using the GCF and distributive property to express a sum as a product?

• Find the GCF of both addends

• Find the sum of the numbers

• Divide the numbers

• Multiply the numbers

Which of the following is a factor pair of 20?

• 1 and 20

• 2 and 10

• 3 and 7

• 4 and 6

What is the prime factorization of 20?

• 3 * 3 * 5

• 2 * 2 * 3

• 2 * 3 * 5

• 2 * 2 * 5

What is the prime factorization of 35?

• 5 * 5

• 5 * 7

• 3 * 7

• 2 * 7

What is the GCF of 20 and 35?

• 10

• 5

• 7

• 2

If the GCF is 5, what is the expression for 20 using the distributive property?

• 5 * 5

• 5 * 4

• 5 * 3

• 5 * 2

If the GCF is 5, what is the expression for 35 using the distributive property?

• 5 * 8

• 5 * 6

• 5 * 7

• 5 * 5

What is the sum of 4 and 7?

• 12

• 11

• 10

• 9

What is the final product when 5 is multiplied by the sum of 4 and 7?

• 50

• 55

• 45

• 60