To uncover the greatest typical factor we have actually to discover the prime determinants of separation, personal, instance numbers and also then find the number which is common to each given number.

You are watching: What is the greatest common factor of 12a and 9a2?

Here the numbers room

Let us uncover out the prime factors of every number.


We have the right to see that

is usual to every the provided numbers

Therefore the greatest typical factor that


3a is the greatest usual factor that the 12a and 9a² .

Option (C) is correct.

Step-by-step explanation:

Definition of greatest usual factor

The greatest usual factor is of two numbers is the number that is a factor of both the the numbers.

As given

As the number provided in the question are 12a and also 9a² .

Factors of 12a = 3a × 4

Factors the 9a² = 3a × 3a

Thus the usual factor of the 12a and also 9a² is 3a .

Thus 3a is the greatest usual factor the the 12a and 9a² .

Option (C) is correct.


Step-by-step explanation:

hello :

12a = 3a×4 and 9a² = 3a×3a

the greatest common factor that 12a and also 9a2 is : 3a


Step-by-step explanation:

To find the GCF of 12a and also 9a,

First, division 12a and also 9a through 3 which offers you 4a and also 3a. Then, division 4a and also 3a by a. You have the GCF that 12a and 9a i m sorry is 3a( 3* a = 3a)

Hope this helps!!!


Step-by-step explanation:

To find the greatest common factor that 12a and also 9a2

Using product of element factors






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