Question

What is the greatest common factor of 175 and 245?

Answer 1

`35`

Explanation:

To find the GCF of two numbers you can proceed as follows:

• Divide the larger number by the smaller to give a quotient and remainder.

• If the remainder is zero then the smaller number is the GCF.

• Otherwise repeat with the smaller number and the remainder.

In our example:

`245/175 = 1` with remainder `70`

`175/70 = 2` with remainder `35`

`70/35 = 2` with remainder `0`

So the GCF is `35`