Question

What is the GCF of 16s3t, 40s5, and 68t2?

Answer 1

deal with the numbers first

GCF of 16, 40 and 68 is 4

there is no GCF of the variables

so required GCF is 4

Answer 2

4 is the GCF of
`16s^3t`,
`40s^5` and
`68t^2`

Explanation:

Find the GCF of
`16s^3t`,
`40s^5` and
`68t^2`.

GCF is the largest number that divide these numbers.

List the prime factor of
`16s^3t`,
`40s^5` and
`68t^2` as:

`16s^3t = 2 \cdot 2 \cdot 2 \cdot 2 \cdot s \cdot s \cdot s \cdot t`

`40s^5 = 2 \cdot 2 \cdot 2 \cdot 5 \cdot s \cdot s \cdot s \cdot s \cdot s`

`68t^2 = 2 \cdot 2 \cdot 17 \cdot t \cdot t`

Common factor of
`16s^3t`,
`40s^5` and
`68t^2` is,
`2 \cdot 2= 4`

Greatest common factor of
`16s^3t`,
`40s^5` and
`68t^2` is, 4