Understanding Prime Factorization and GCF

This video tutorial explains how to find the greatest common factor (GCF) of 72 and 36 using prime factorization. The instructor demonstrates the use of a factor tree to break down each number into its prime factors. A prime factorization chart is then created to organize these factors, and the GCF is calculated by identifying common prime factors. The video concludes with a call to action to subscribe for more math and science content.

What is the greatest common factor (GCF) of two numbers?

• The sum of the two numbers

• The largest number that divides both numbers

• The smallest number that divides both numbers

• The difference between the two numbers

Which number is used first in the factor tree for 72?

• 6

• 2

• 4

• 3

What is the result of dividing 72 by 2 in the factor tree?

• 18

• 36

• 24

• 9

What is the first prime factor of 36?

• 3

• 6

• 2

• 9

How many times does 2 divide into 36 in the factor tree?

• Twice

• Once

• Three times

• Four times

What is the purpose of the prime factorization chart?

• To divide all numbers

• To eliminate mistakes in finding the GCF

• To add all prime numbers

• To multiply all numbers

What is required to use a number in the prime factorization chart?

• A single number

• A vertical pair

• A diagonal pair

• A horizontal pair

What is the final step in calculating the GCF using the chart?

• Subtract all numbers

• Multiply the vertical pairs

• Add all numbers

• Divide the vertical pairs

What is the greatest common factor of 72 and 36?

• 12

• 36

• 24

• 18

What does the video encourage viewers to do at the end?

• Watch another video

• Comment on the video

• Like the video

• Subscribe and share