What is the GCF of 16, 24, and 32?

2 Answers
Write your answer here...
Start with a one sentence answer
Then teach the underlying concepts
Don't copy without citing sources
preview
?

Answer

Write a one sentence answer...

Answer:

Explanation

Explain in detail...

Explanation:

I want someone to double check my answer

Describe your changes (optional) 200

8
Apr 5, 2016

Answer:

#8#

Explanation:

Working out all the factors of 16, 24 and 32, you will find that 8 is the greatest one that all of them share.

Also, you cannot have a factor that is greater than half of the lowest number, so 8 is the greatest possible factor of 16. It is also the difference between all the numbers, so it is a good place to begin.

Was this helpful? Let the contributor know!
1500
Write your answer here...
Start with a one sentence answer
Then teach the underlying concepts
Don't copy without citing sources
preview
?

Answer

Write a one sentence answer...

Answer:

Explanation

Explain in detail...

Explanation:

I want someone to double check my answer

Describe your changes (optional) 200

2
Feb 14, 2017

Answer:

#GCF = 2xx2xx2 = 8#

Explanation:

Write each number as the product of its prime factors.

It is then very easy to see exactly what factors they have in common.

#16 =color(red)(2xx2xx2)xx2 " "=2^4#
#32= color(red)(2xx2xx2)xx2xx2" "= color(blue)(2^5)#
#24= color(red)(2xx2xx2)xxcolor(white)(xxxxx)3" "= 2^3xxcolor(blue)(3)#

#GCF = color(red)(2xx2xx2) = 8" "larr# multiply together

From this, the LCM can also be found easily.

#LCM = 2xx2xx2xx2xx2xx3 = color(blue)(2^5 xx 3)= 96#

#color(white)(.............)# Use a factor from each column

Was this helpful? Let the contributor know!
1500
Impact of this question
Answer impact map
1168 views around the world
You can reuse this answer
Creative Commons License