Understanding Greatest Common Factor with Factor Trees

What is the greatest common factor?

• The sum of two prime numbers

• The smallest number that divides two numbers

• The difference between two numbers

• The largest number that divides two numbers evenly

How do you start creating a factor tree for a number?

• By dividing the number by its smallest prime factor

• By squaring the number

• By adding the number with itself

• By breaking the number into any two factors other than one and itself

What was the GCF of 18 and 45?

• 45

• 18

• 9

• 3

Why is the factor tree method particularly useful for larger numbers?

• It's the only way to find the GCF

• It's easier than addition

• It visually simplifies the process

• It requires less calculation

What is the prime factorization of 108?

• 2 x 3 x 3 x 3

• 2 x 2 x 3 x 3 x 3

• 2 x 2 x 3 x 3

• 3 x 3 x 3 x 3

What is the GCF of 108 and 300?

• 6

• 24

• 18

• 12

How many prime factors must overlap to determine the GCF in a factor tree?

• At least one prime factor

• Only the smallest prime factor

• Only the largest prime factor

• All prime factors

What is the GCF of 54, 72, and 90?

• 54

• 18

• 9

• 36

In the factor tree method, what do you do with prime numbers?

• Ignore them

• Circle them

• Subtract them

• Square them

What is the purpose of circling prime numbers in a factor tree?

• To highlight them for multiplication

• To prepare them for subtraction

• To indicate they are divisible by two

• To show they are not important