Question

What is the GCF of (8x-6) sos T-T

Answer 1

Hi student, let me help you out! :)

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We are asked to find the G.C.F. of 8x-6.

$\triangle~\fbox{\bf{KEY:}}$

• G.C.F. stands for Greatest Common Factor.

So what is the G.C.F. of 8x-6? We can list all of their common factors and then select the greatest one, like so:

$\longmapsto\bf{Factors\;of\;8x:}$ 1, 2, 4, 8, x

$\longmapsto\bf{Factors\;of\;-6:}$ -1, 1, 2, -3, 3, -6, 6

So the GCF is:

2

Now, we can also factor it out by placing it outside the parentheses ():

2(4x-3)

See, we factored it out by dividing both terms of the expression by the G.C.F.

$\ddot\bigstar$ Remember this...

$\fbox{\bf{We\;factor\;out\;the\;G.C.F.\;by\;dividing\;all\;the\;terms\;of\;the\;expression\;by\;it}}$

Hope this helps you out! :D

Ask in comments if any queries arise.

~Just a smiley person helping fellow students :)