Determining common factors

Determining common factors

Ever taken apart a puzzle? Well, just like a puzzle, numbers can be taken apart. Factors are like the parts of a number that are left after you have taken apart the number. When two or more numbers have the same factor, this is called a common factor. In this section, we will be determining the factors of whole numbers, including the common factors of pairs of numbers. We will be using the divisibility rules learned in previous section.
Basic concepts: Place value,


  • 1.
    What are the factors of 20?

  • 2.
    What are the common factors of each pair of numbers?
    12, 16

    17, 19

    30, 75

  • 3.
    Michelle has 12 red flowers, 28 blue flowers, and 36 yellow flowers. She wants to make bouquets with the same number of each color of flower in each bouquet. What is the greatest number of bouquets she can make?