Understanding GCF and LCM

The video tutorial explains the concepts of Greatest Common Factor (GCF) and Lowest Common Multiple (LCM). It provides definitions and examples for both, demonstrating how to find the GCF and LCM of numbers like 4, 8, 10, and 15. The tutorial also introduces the use of factor trees for prime factorization to simplify finding GCF and LCM for larger numbers. The video concludes with a summary of the key concepts and encourages kindness.

What is the main difference between a factor and a multiple?

• A factor is a number that divides another number, while a multiple is a number that is divided by another number.

• A factor is a number that is a product of another number, while a multiple is a number that divides another number.

• A factor is a number that is multiplied by another number, while a multiple is a number that divides another number.

• A factor is a number that divides another number, while a multiple is a number that is a product of another number.

Which of the following is the greatest common factor of 4 and 8?

• 4

• 2

• 6

• 8

How do you determine the lowest common multiple of two numbers?

• By finding the largest number that is a multiple of both numbers.

• By finding the largest number that is a factor of both numbers.

• By finding the smallest number that is a factor of both numbers.

• By finding the smallest number that is a multiple of both numbers.

What is the lowest common multiple of 4 and 8?

• 8

• 4

• 12

• 16

What is the greatest common factor of 10 and 15?

• 3

• 10

• 2

• 5

What is the lowest common multiple of 10 and 15?

• 35

• 20

• 25

• 30

What is the purpose of using a factor tree?

• To find the sum of two numbers.

• To find the prime factors of a number.

• To find the difference between two numbers.

• To find the product of two numbers.

Which of the following is a prime factor of 20?

• 8

• 6

• 4

• 2

What is the greatest common factor of 20 and 75 using a factor tree?

• 3

• 5

• 10

• 2

What is the lowest common multiple of 20 and 75 using a factor tree?

• 150

• 200

• 250

• 300