Greatest Common Factor and Least Common Multiple

The video tutorial explains how to find the least common multiple (LCM) and greatest common factor (GCF) of the numbers 14 and 22. It begins by identifying the prime factors of each number, then uses a chart to organize these factors. The LCM is calculated by multiplying the highest power of each prime factor, resulting in 154. The GCF is determined by identifying the common prime factors, which is 2 in this case. The video concludes with a summary of the results and encourages viewers to subscribe for more math and science content.

What are the two mathematical concepts discussed in the video?

• Addition and Subtraction

• Multiplication and Division

• Least Common Multiple and Greatest Common Factor

• Square and Square Root

What are the prime factors of 14?

• 2 and 11

• 2 and 7

• 3 and 5

• 7 and 11

Which number is a prime factor of both 14 and 22?

• 7

• 11

• 2

• 3

What is the Least Common Multiple (LCM) of 14 and 22?

• 28

• 44

• 154

• 66

How do you calculate the LCM using prime factors?

• Multiply all unique prime factors

• Divide the largest prime factor

• Add all prime factors

• Subtract the smallest prime factor

What is the definition of the Greatest Common Factor (GCF)?

• The sum of all factors

• The product of all factors

• The smallest factor of a number

• The largest factor that divides two numbers evenly

What is the GCF of 14 and 22?

• 11

• 7

• 1

• 2

Which prime factor is not used in calculating the GCF of 14 and 22?

• 7

• 2

• 11

• Both 7 and 11

What is the final result for the LCM of 14 and 22?

• 154

• 28

• 44

• 66

What is the final result for the GCF of 14 and 22?

• 7

• 1

• 11

• 2