Finding the Greatest Common Factor

This video tutorial explains how to find the greatest common factor (GCF) of numbers and monomials. It covers three methods: listing factors, using the smaller number, and prime factorization. The video also discusses finding the GCF of monomials, including variables. Each method is explained with examples, and the video concludes with a summary and encouragement for students to practice these techniques.

What is the Greatest Common Factor (GCF)?

• The difference between the largest and smallest factors

• The sum of all factors of two numbers

• The largest factor two numbers have in common

• The smallest factor two numbers have in common

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

• Dividing the factors

• Adding all factors together

• Listing out the factors

• Subtracting the factors

What is the GCF of 15 and 40?

• 10

• 5

• 15

• 3

What is the GCF of 15 and 40 using the smaller number method?

• 3

• 5

• 10

• 15

What is the GCF of 15 and 40 using prime factorization?

• 15

• 5

• 3

• 10

What is the GCF of 15 and 40 using the smaller number method?

• 15

• 10

• 5

• 3

How can you find the GCF using the smaller number?

• Subtract the smaller number from the larger one

• Multiply the smaller number by the larger one

• Check if the smaller number divides the larger one

• Add the smaller number to the larger one

What is the GCF of 8 and 32?

• 32

• 8

• 4

• 16

What is the GCF of 8 and 32 using the smaller number method?

• 8

• 32

• 16

• 4

What is the GCF of 8 and 32 using prime factorization?

• 4

• 8

• 16

• 32