Common Factors Worksheet

Common Factors Worksheet

Lesson 1

Problem: Find the least common multiple of 8 and 72.

Solution List the prime factors of each.

Step 1:

Solution Transferring 4 from right side and subtracting it from 25

Step 2: 8: 2x2x2
72: 2x2x2x3x3

Solution Multiply each factor the greatest number of times it occurs in any of the numbers.

Step 3: 72 have three 2s and two 3s. This gives us 72, the smallest number that can be divided

evenly by 8, 72 is 72

Solution The answer is: 72

Step 4:

Complete

Find the greatest common factor of 14 and 44.

List the prime factors of each.

14:2X7

44:2x2x11

The product of the multiples which are common in both the numbers becomes the greatest common factor of the given numbers, i.e. 2.

Answer: The Greatest Common Factor of 14, 44 is 2

Try two practice problems:

Find the Least common multiple of each pair of numbers:

A. 12, 56

B. 22, 38