Question

Select the GCF of these numbers.

2^5 · 5· 11 and 2^3· 5^2 · 7

2^2 · 3
2· 11^2
3^2
2^3 ·5
13 · 19^3 ·23^2

Answer 1

\[\large\rm 2\cdot2\cdot2\cdot2\cdot2\cdot5\cdot11\]and\[\large\rm 2\cdot2\cdot2\cdot5\cdot5\cdot7\]What do they have in common?

Answer 2

like the number of certain numbers?

Answer 3

Like...
they both have a 5,
what else do they both have? :)

Answer 4

2's

Answer 5

They don't BOTH have two 5's right?
Only one of them has that many,
so only one 5 can be a part of our GCF.

How many 2's? :)

Answer 6

8

Answer 7

3 fives

Answer 8

what?
you mean three 2's?

Answer 9

in the bottom one yes

Answer 10

ohhhh sorry i was looking at what you first wrote

Answer 11

im sorry im confused

Answer 12

\[\large\rm 2\cdot2\cdot2\cdot2\cdot2\cdot\color{orangered}{5}\cdot11\]and\[\large\rm 2\cdot2\cdot2\color{orangered}{\cdot5}\cdot5\cdot7\]We're just looking for what they have in common.
Don't add up all of the 5's.

The first set of numbers has ONE 5.
The second set has TWO 5's.

So they have ONE 5 in common, ya? :)

Answer 13

okay yes so they both also have one 2 in comman?

Answer 14

\[\large\rm \color{orangered}{2}\cdot2\cdot2\cdot2\cdot2\cdot5\cdot11\]\[\large\rm \color{orangered}{2}\cdot2\cdot2\cdot5\cdot5\cdot7\]Hmm I think we can get more than a single 2 out of each of them, can't we?

Answer 15

okay okay 3---- 2"s

Answer 16

are in comman

Answer 17

\[\large\rm 2\cdot2\color{orangered}{\cdot2\cdot2\cdot2\cdot5}\cdot11\]\[\large\rm \color{orangered}{2\cdot2\cdot2\cdot5}\cdot5\cdot7\]Ok great!
So we've figured out our GFC, the largest stuff that they share in common.
Do you see which option this corresponds to?

Answer 18

so d?

Answer 19

Yes, good job.

Answer 20

thank you sir i have a few more problems this should help alot