Question

What is the GCF of 10r4s4 and 2r2s6

Answer 1

GCF of
`10r^4s^4` and
`2r^2s^6` =
`2r^2s^4`

Solution:

Given that We have to find the GCF of
`10r^4s^4` and
`2r^2s^6`

The greatest number that is a factor of two (or more) other numbers.

When we find all the factors of two or more numbers, and some factors are the same ("common"), then the largest of those common factors is the Greatest Common Factor

GCF of
`10r^4s^4` and
`2r^2s^6`

First find the GCF of numbers and then find the GCF of variables and then multiply them together

Step 1: GCF of 10 and 2

The factors of 2 are: 1, 2

The factors of 10 are: 1, 2, 5, 10

Then the greatest common factor is 2

Step 2: GCF of
`r^4s^4 \text{ and } r^2s^6`

`r^4s^4 = r^2 * r^2 * s^4\\\\r^2 s^6 = r^2 * s^4 * s^2`

Thus GCF is
`r^2s^4`

Therefore,

GCF of
`10r^4s^4` and
`2r^2s^6` =
`2r^2s^4`