Question

Find the GCF of 44j5k4 and 121j2k6.

Answer 1

Its 11j2k4 because well i just know trust me my dude

Answer 2

Answer:

D. $11j^2k^4$

Step-by-step explanation:

We are asked to find the GCF of $44j^5k^4\text{ and }121j^2k^6$.

Since we know that GCF of two numbers is the greatest number that is a factor of both of them.

First of all we will GCF of 44 and 121.

Factors of 44 are: 1, 2, 4, 11, 22, 44.

Factors of 121 are: 1, 11, 11, 121.

We can see that greatest common factor of 44 and 121 is 11.

Now let us find GCF of $j^5\text{ and }j^2$.

Factors of $j^5$ are: $j*j*j*j*j$

Factors of $j^2$ are: $j*j$

We can see that greatest common factor of $j^5\text{ and }j^2$ is $j*j=j^2$.

Now let us find GCF of $k^4\text{ and }k^6$.

Factors of $k^4$ are: $k*k*k*k$    

Factors of $k^6$ are:$k*k*k*k*k*k$

We can see that greatest common factor of  $k^4\text{ and }k^6$ is $k*k*k*k=k^4$.

Upon combining our all GCFs we will get,

$11j^2k^4$  

Therefore, GCF of $44j^5k^4\text{ and }121j^2k^6$ is $11j^2k^4$ and option D is the correct choice.