What are common and greatest common factors?

they are closely related, but GCF (greatest common factor) is the largest common factor between two or more numbers.

A factor of a number is a number that number can divide by. For instance, 20 has the factors 1, 2, 4, 5, 10 and 20. 28 has the factors 1, 2, 4, 7, 14 and 28. Common factors are factors which appear...

Given two numbers, you find the largest possible number, which is a factor of both numbers. One way to do this is to find the prime factors of each number, then collect the prime factors that are...

divide everything by the number/variable all terms have in common. Ex: y^3-y^2-y. The gcf is y, so you would reduce it to y(y^2-y-1)

The greatest integer that divides the number without a remainder.