Question

What is the greatest common factor of 35+14

Answer 1

The first step to find the gcf of 14 and 35 is to list the factors of each number. The factors of 14 are 1, 2, 7 and 14. The factors of 35 are 1, 5, 7 and 35. So, the Greatest Common Factor for these numbers is 7 because it divides all them without a remainder.

so 7 is the greatest common factor of 35+14

The factors of 14 are 1,2,7,14; The factors of 35 are 1,5,7,35.

"how may I apply the distributive property to this expression."

By factoring out 7, the expression 35+14 = 7(5 + 2) and so you have an alternative way of computing the sum.

49 = 7(7).

Answer 2

7

Explanation:

When you multiply two numbers together to get a product, those two numbers are considered factors of the product. There are certain operations in math that require comparing two or more numbers and identifying the largest factor they have in common. This is called the greatest common factor (GCF).