Which pair of numbers have a GCF of 3?
Choose all answers that are correct.
A.
18 and 15
B.
3 and 9
C.
6 and 9
D.
15 and 20

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- jameshorton

- katieb

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- GenericNoodles

Greatest common factor is the biggest multiple, so what do you think it is?

- jameshorton

idk

- mathstudent55

Factors of 18:
1, 2, 3, 6, 9, 18
Factors of 15:
1, 2, 5, 15
The greatest factor both 18 and 15 have is 3.
Now do the same for the other choices.

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## More answers

- mathstudent55

The GCF is the greatest common FACTOR, not multiple.

- jameshorton

d

- jameshorton

A

- GenericNoodles

Oops my bad, his explanation is correct :) make you follow those steps.

- jameshorton

so the answer is d,a

- jameshorton

wat the third one

- jameshorton

wat is the answer

- anonymous

Look at B and C, follow the same steps as math explained o:

- anonymous

For B; List all of the factors of 15 and 18, and find the largest factor that they both have.
For D; Can 15 and 20 both be divisible by 3?

- jameshorton

soo wat the answer d,a

- mathstudent55

D is not an answer.
The GCF of D is 5, not 3.

- jameshorton

oh

- mathstudent55

A is part of the answer.
Now check B.
What are the factors of 3 and what are the factors of 9?

- jameshorton

b,c

- GenericNoodles

We can't give you the answers, just the tools to help you!

- jameshorton

ok

- mathstudent55

B:
Factors of 3: 1, 3
Factors of 9: 1, 3, 9
C:
Factors of 6: 1, 2, 3, 6
Factors of 9: 1, 3, 9
Now look above for B and C.
What is the largest factor in common for B and for C?

- jameshorton

3,6,9,12,15,18

- mathstudent55

What is that?

- jameshorton

9

- mathstudent55

\(\sf Choice ~ B:\)
\(\sf Factors ~of ~3: 1, \color{red} 3\)
\(\sf Factors ~of ~9: 1, \color{red} {3}, 9\)

- GenericNoodles

When you find the greatest common factor for two numbers, you lost the numbers they have in common. For question C,
The only factors of 6 is 1, 2, 3, 6
The only factors of 9 is 1, 3, 9
Now they each have two numbers in common. 1, and 3. Now decide which of the factors is larger. That is your greatest common factor.

- jameshorton

3

- GenericNoodles

Find not lost, open study is glitchy on iPhone

- jameshorton

oh

- mathstudent55

Yes, you are correct. B and C are answers. Since we already had A, then
the answer is A, B, C

- GenericNoodles

It's a really easy unit of math once you get the hang of it.

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