What is greatest common factor of 175 and 280

The GCF of 175 and 280 is 35.

35

Step-by-step explanation:

175: 1, 5, 7, 25, 35, 175

280: 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

or

step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

⇒

⇒ ⇒

factorizing, we get that:

  ⇒

then, the solutions are: or

nothing extraneous has been found!