Finding the Greatest Common Factor with Prime Factorization

The video tutorial explains the relationship between the Greatest Common Factor (GCF) and the Lowest Common Multiple (LCM). It provides a step-by-step guide on how to find the GCF using prime factorization, illustrated with an example involving the numbers 36 and 44. The tutorial also covers special cases where no common factors exist, explaining that the GCF in such cases is 1. The video emphasizes the simplicity and efficiency of using prime factorization tables to avoid mistakes.

What does GCF stand for?

• Greatest Common Formula

• Greatest Common Function

• Greatest Common Fraction

• Greatest Common Factor

What is another name for GCF?

• Highest Common Factor

• Lowest Common Factor

• Lowest Common Multiple

• Highest Common Multiple

What is the GCF of 36 and 44?

• 6

• 2

• 8

• 4

Which of the following is NOT a step in finding the LCM?

• Align like factors

• List the prime factors

• Multiply all prime factors

• Subtract the prime factors

What is the first step in finding the LCM of two numbers?

• Subtract the numbers

• Multiply the numbers

• Divide the numbers

• List the prime factors

What is the LCM of 36 and 44?

• 88

• 396

• 144

• 72

Which prime factor is common to both 36 and 44?

• 5

• 11

• 3

• 2

What is the GCF if there are no common prime factors between two numbers?

• 2

• 1

• 0

• 3

Why is the GCF of two numbers with no common prime factors equal to 1?

• Because 1 is the smallest number

• Because 1 is a factor of every number

• Because 1 is a prime number

• Because 1 is a common multiple

What should you do if you want to avoid mistakes while finding the GCF?

• Use a prime factors table

• Skip the LCM step

• Use a calculator

• Guess the factors