Question

Find the GCF of the following numbers:

2^5 x 3^7 and 2^7 x 3^5

Answer = 2^? x 3^? AKA 2 to the power of what multiplied by 3 to the power of what
13 POINTS! NEED ANSWER QUICK! THANKS!

Answer 1

`2^53^5`

Explanation:

So if we compare
`2^5 \cdot 3^7` to
`2^7 \cdot 3^5`, we should see the most amount of factors of 2 that they have in common is 5 and the most amount of factors of 3 that they have in common is 5.

If you aren't sure on the number of factors of 2 and 3 they have in common you could write it all out:

`2^53^7=(2)(2)(2)(2)(2)\cdot\text{ }(3)(3)(3)(3)(3)(3)(3`

`2^73^5=(2)(2)(2)(2)(2)(2)(2)\text{ }(3)(3)(3)(3)(3)`

So if I were able to circle each pair of 2's they had in common I would circle 5 pairs.

If were able to circle each pair of 3's they had in common I would circle 5 pairs.