Question

what is the highest prome factor between 4to the power 8 -3 to the power 8

Answer 1

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Answer 2

Answer:

The highest prime factor between $4^8 \text{ and } 3^8$ is 1.

Step-by-step explanation:

Given : Numbers $4^8 \text{ and } 3^8$

To find : The highest prime factor between given numbers?

Solution :

Numbers $4^8 \text{ and } 3^8$

Prime factor of $4^8$

$4^8 = 2\times2\times2\times2\times2\times2\times2\times2\times2\times2\times2\times2\times2\times2\times2\times2\\4^8 = 4\times4\times4\times4\times4\times4\times4\times4$

Prime factor of $3^8$

$3^8 =3\times3\times3\times3\times3\times3\times3\times3$

There is no factor which is common in both except 1.

So, The highest prime factor between $4^8 \text{ and } 3^8$ is 1.