What is the greatest common factor of 175 and 245?

1 Answer
Apr 14, 2016

Answer:

#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#