Finding the Highest Common Factor

This video tutorial explains how to find the highest common factor (HCF), also known as the greatest common factor (GCF), using two methods: listing factors and prime factorisation. It begins with an introduction to common factors, followed by examples. The video then details the two methods for finding the HCF, providing step-by-step instructions and examples. Finally, viewers are encouraged to practice with questions provided in the video.

What is a common factor?

• A number that is a factor of only one number

• A number that is a factor of two or more numbers

• A number that is the sum of two numbers

• A number that is the product of two numbers

How do you find the highest common factor using the listing method?

• By adding all the factors of the numbers

• By multiplying all the factors of the numbers

• By listing all factors, identifying common ones, and choosing the largest

• By dividing the numbers by their smallest factor

What is the first step in finding the highest common factor using prime factorization?

• Write each number as a product of its prime factors

• Add the prime factors of the numbers

• Multiply the numbers together

• List all the factors of the numbers

When using prime factorization, what do you do after finding the prime factors?

• Add the prime factors together

• Multiply the highest powers of the factors

• Divide the numbers by their prime factors

• Take the lowest powers of the common factors and multiply them

Which method involves writing numbers as a product of their prime factors?

• Prime factorization method

• Subtraction method

• Listing method

• Addition method