Finding the GCF through Prime Factorization

What is the Greatest Common Factor (GCF) also known as?

• Prime Factor

• Prime Number

• Least Common Multiple

• Greatest Common Divisor

Why is prime factorization a useful strategy for finding the GCF?

• It simplifies the process for larger numbers

• It only works for even numbers

• It is faster for smaller numbers

• It avoids the need for multiplication

What are the prime factors of 63?

• 1, 63

• 3, 21

• 7, 9

• 3, 3, 7

What is the GCF of 63 and 84?

• 42

• 3

• 21

• 7

What are the prime factors of 48?

• 1, 48

• 2, 4, 6

• 3, 16

• 2, 2, 2, 2, 3

What is the GCF of 48 and 72?

• 18

• 24

• 36

• 12

Which of the following is a common prime factor of both 63 and 84?

• 11

• 2

• 3

• 5

How do you find the GCF once you have the common prime factors?

• Add them together

• Subtract them

• Multiply them

• Divide them

What is the first step in finding the prime factorization of a number?

• Subtract 1

• Multiply by 2

• List all factors

• Divide by the smallest prime number

What is the purpose of finding the GCF using prime factorization?

• To multiply numbers

• To find the largest common factor

• To simplify fractions

• To find the smallest number