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## MAP Recommended Practice

### Course: MAP Recommended Practice>Unit 35

Lesson 18: Greatest common factor

# Factor with the distributive property

The distributive property helps us factor out the greatest common factor (GCF) in math problems. By finding the GCF of two numbers, we can rewrite the expression as a product, making calculations easier. Understanding this property is essential for simplifying expressions and solving equations.

## Want to join the conversation?

• why do we have to learn math like this we will never need it
• bro is speaking facts
• Why can’t we just add and get the answer? It’s easier. 35 plus 50= 85. I don’t want to go with that process every time I add.
• This isn't to find the sum, it's to find the greatest common factor which is useful in different ways. It's applied to later algebruh.
• How can we use distributive property in everyday life senarios - as I'm struggling finding a use for it?
• Going to the grocery store and buying a pound of grapes and 2 pounds of coffee beans. Otherwise, it just helps you with problem solving skills and creative thinking.
• why has my father not returned with the milk? it has been 13 years.
• We first need to find the greatest common factor of 13 years and the amount of milk your father is buying. He is going to buy a gallon of milk from a grocery store and he has taken 13 years so far. We can estimate that he would have bought 5800 gallons of milk. Now, we can solve 5800 divided by 13 to figure out the greatest common factor.
• is five hondred times five hudred 1,0000
• no five hundred would be 250,000. 200 times 50 would be 10,000.

I hope this helps!
• what does it mean when it says to factor out the greatest common factor? what is a common factor or the greatest common factor? I'm a little lost?
• The greatest common factor is the largest integer that you can divide both numbers by to get an integer.
• what do you do if the numbers do have a factor in common for example 75+50
• 75 = 5 x 15 = 5 x (3 x 5) = 3 x 5 x 5
50 = 2 x 25 = 2 x (5 x 5) = 2 x 5 x 5

The two numbers have 5 x 5 (or 25) in common.

75+50=25(3+2)
• If you don't get this, try Euclid's GCF algorithm:

How to Find the GCF of 2 numbers (call them A and B, and
make sure A>B )
2. Do A/B. Call the remainder R. Then do R/A. Call the remainder S. Then do S/R. Call the remainder T. And so on, you see what my (or actually, Euclid's) point is? In a nutshell, divide the 2 numbers and divide the remainder by the divisor (the number outside the symbol, or "outside the house").
3. When you come to an equation with no remainder, the divisor (of that equation)is the GCF.

Hope this helps!