
Greatest Common Factor (GCF) of two numbers is the largest number that divides both of the given numbers exactly. It is called their Greatest Common Divisor (G.C.D.) or Highest Common Factor (H.C.F.) or Greatest Common Factor (G.C.F). Method:
Solution: Find the prime factors of these numbers: 36 = 2 x 2 x 3 x 3. 48 = 2 x 2 x 2 x 2 x 3. 60 = 2 x 2 x 3 x 5. Now, find the prime factors that are common to all of these three numbers. Here, 2, 2, and 3 are common prime factors. Multiply the common prime factors, 2 x 2 x 3 = 12. The resulting number (here, 12) is the greatest common factor of the given numbers. Directions: Answer the following questions. Also write at least 10 examples of your own. 