Finding the Greatest Common Factor

This video tutorial covers the concept of the greatest common factor (GCF) and various methods to find it, including the listing method and the chart and table method. It provides practice problems and explores the GCF in relation to prime numbers and patterns. The tutorial also delves into advanced GCF problems, demonstrating how to express sums as products of their GCF and another sum.

What is the greatest common factor (GCF) of two numbers?

• The sum of the numbers

• The largest factor shared by the numbers

• The product of the numbers

• The smallest factor shared by the numbers

Which method involves listing all factors of two numbers to find their GCF?

• Chart method

• Listing method

• Graph method

• Table method

What is the GCF of 24 and 36 using the listing method?

• 12

• 8

• 6

• 18

In the chart method, if you have 18 flowers in one bouquet, how many flowers are in each bouquet if you have two bouquets?

• 9

• 6

• 18

• 3

Why can't you make five bouquets of flowers using the chart method for 18 flowers?

• Five is too large

• Five is not a whole number

• Five is not a factor of 18

• Five is too small

What is the GCF of two prime numbers?

• The sum of the numbers

• The product of the numbers

• 1

• 0

What pattern do the numbers 1, 3, 5, 9, 15, and 45 represent?

• Factors of 45

• Multiples of 3

• Prime numbers

• Even numbers

How can you express the sum of 56 and 64 using their GCF?

• 8 times (7 + 8)

• 8 times (7 + 15)

• 8 times (6 + 8)

• 8 times (8 + 8)

What is the GCF of 24 and 40?

• 8

• 6

• 10

• 4

How do you write 24 + 40 as a product of their GCF and another sum?

• 8 times (3 + 6)

• 8 times (2 + 5)

• 8 times (4 + 5)

• 8 times (3 + 5)