What is the GCF of 458 and 70?

Answer 1

Answer: 2

Solution: The greatest common factor of two numbers is defined as the largest number that divides both numbers into whole numbers (i.e. divides the numbers evenly).

The easiest way to find the G.C.F. in this case is to begin by listing the factors of the smaller number:

Factors of 70: 70, 35, 14, 10, 7, 5, 2, 1

See if 70 divides 458 evenly (it does not), then 35 (again, it does not), and so on...until we find a factor of 70 that is also a factor of 458. We find that 2 is the largest such number.