|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).
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.