Question

Can you guys help me find the greatest common factor of these monomials

Answer 1

You greatest common factor is

`3t^(2)`

Explanation:

You need to find a number and letter which goes into both monomials.

`6t^(3)z^(5)`,
`3t^(2)`

Split both monomials up, into each integer and letter.

INTERGERS: 6, 3

LETTER t:
`t^(3)`,
`t^(2)`

LETTER z:
`z^(5)`

3 goes into 6 and 3.

`t^(2)` goes into
`t^(3)` and
`t^(2)`.

Nothing goes into
`z^(5)` and 0.

You greatest common factor is

`3t^(2)`

Therefore

`3t^(2) (tz^(5) , 1) = 3t^(3)z^(5) ,3t^(2)`

Answer 2

The greatest common factor = 3t²

Explanation:

It is given two monomials,

6t³z⁵ and 3t²

To find the greatest common factor

The given monomials are 6t³z⁵ and 3t²

3t² = 3 * t²

6t³z⁵ =2 * 3 * t² * t * z⁵

From above result we get greatest common factor = 3t²

Therefore the correct answer is 3t²