Question

What is the greatest common factor of 19x7 and 3x5?

Answer 1

GCF =
`x^(5)`.

Explanation:

Given : 19
`x^(7)` , 3
`x^(5)` .

To find : What is the greatest common factor

Solution : We have given that 19
`x^(7)` , 3
`x^(5)` .

The greatest common factor is the product of the highest common factors in each number.

We can write
`x^(7)` as
`x^(5)` *
`x^(2)`

Factor of 19
`x^(7)` = 1 , 19 ,
`x^(5)` ,
`x^(2)` .

Factor of 3
`x^(5)` .= 1 , 3,
`x^(5)`.

So, GCF = 1 ,
`x^(5)`.

Therefore, GCF =
`x^(5)`.