Question

What is the greatest common factor of 343, 49, and 196?

Answer 1

The greatest common factor of these numbers would be 7

Answer 2

We have to find the greatest common factor of 343, 49 and 196.

The greatest common factor, or GCF, is the greatest factor that divides the given numbers.

First of all, we will find the factors of each of the number.

`343 = 7 * 7 * 7`

`49 = 7 * 7`

`196 = 2 * 2 * 7 * 7`

Now, we will find out the greatest common factors. 7 and 7 are the greatest common factors.

So, Greatest common factor =
`7 * 7`

= 49.

Therefore, 49 is the greatest number that divides the given numbers.