Finding the Greatest Common Factor

The video tutorial by Mr. J covers how to find the greatest common factor (GCF) using two methods: listing out factors and prime factorization. The tutorial begins with an introduction to the concept of GCF, explaining that it is the largest factor shared by two numbers. The first method involves listing all factors of the numbers and identifying the greatest common one. Examples with numbers like 16, 24, 15, and 35 are provided. The second method, prime factorization, is introduced as a more efficient approach for larger numbers. Examples with numbers like 63, 84, 48, and 72 are used to demonstrate this method. The video concludes with a summary of both strategies.

What is the Greatest Common Factor (GCF)?

• The product of two numbers

• The smallest number that divides two numbers

• The largest number that divides two numbers

• The sum of two numbers

Which of the following is a strategy to find the GCF?

• Subtracting the numbers

• Dividing the numbers

• Listing out factors

• Adding the numbers

What is the GCF of 16 and 24?

• 4

• 8

• 16

• 12

Which pair of numbers are factors of 15?

• 1 and 15

• 4 and 5

• 2 and 7

• 3 and 6

What is the GCF of 15 and 35?

• 3

• 5

• 7

• 10

What is the first step in prime factorization?

• Multiply the numbers

• Find the smallest prime factor

• Add the numbers

• Divide by the largest number

What is the GCF of 63 and 84 using prime factorization?

• 28

• 21

• 14

• 7

Which of the following is a prime factor of 48?

• 8

• 6

• 4

• 2

What is the GCF of 48 and 72 using prime factorization?

• 24

• 18

• 30

• 12

Which method is more efficient for larger numbers?

• Prime factorization

• Listing out factors

• Adding the numbers

• Subtracting the numbers