To identify common factors, you must first list all of the factors of each number you are working with. If a set of numbers all have 5 as a factor, this is called a common factor.
For a given set of numbers, there would be multiple common factors, and the highest among the common factors is known as the HCF. For 4 and 6, the common factors are 1 and 2. Since 2 is the highest among the given factors, HCF will be 2 for 4 and 6.
The factors of 12 include: 1, 2, 3, 4, 6, and 12. Thus, the common factors of 16 and 12 are: 1, 2, and 4. Often in math problems, it can be desirable to find the greatest common factor of some given numbers. In this case, the greatest common factor is 4.
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What is the common factor of 6?
When the factors of one number are also the factors of another number then those are called common factors of those two numbers. For example, common factors of 6 (factors: 1, 2, 3, 6) and 3 (factors: 1 and 3) are 1 and 3.
The GCF of 6 and 16 is 2. To calculate the greatest common factor of 6 and 16, we need to factor each number (factors of 6 = 1, 2, 3, 6; factors of 16 = 1, 2, 4, 8, 16) and choose the greatest factor that exactly divides both 6 and 16, i.e., 2.
The GCF of 6 and 12 is 6. To calculate the GCF (Greatest Common Factor) of 6 and 12, we need to factor each number (factors of 6 = 1, 2, 3, 6; factors of 12 = 1, 2, 3, 4, 6, 12) and choose the greatest factor that exactly divides both 6 and 12, i.e., 6.
To find common factors of two numbers, first, list out all the factors of two numbers separately and then compare them. Now write the factors which are common to both the numbers. These factors are called common factors of given two numbers.
Factors of 6 are 1, 2, 3, and 6. 1 is a universal factor. It is a factor of all numbers. The number itself is a factor of the number as it divides itself exactly.
