The common factors of 8, 20 is-

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answer is C.

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Detailed Solution

Concept- The common factors of 8 and 20 must be found in this situation. It is actually the prime factorization method that we will use to find all the prime factors of the two integers that are supplied by first dividing them into their smaller factors one at a time. We shall divide each number into its prime factors by starting with the smallest prime number, moving on to the next prime number if the previous one is not divisible, and so on until we have obtained all the factors as prime numbers. After obtaining the factors, we will count the number of factors shared by the two given numbers, multiplying all of them to arrive at the shared factors of 8, 20, and then determine how many factors there are in total.
Find each of the eight factors.
Since 8 may be divided by 2, we can write it as

We'll now divide 4 into more manageable components. 4 can be divided by 2 as well. Therefore, we can write 4 as

.
Thus,

We are no longer able to further break down any of the elements. Thus, the prime factors of 8 are

.
We shall now discover all 20’s factors.
Due to the fact that 20 is exactly divisible by 2, we can express it as

.
We will now divide 10 into smaller components. 10 can be written as because it is divided by 2 and is also
Thus,

Now, we can see that they share two components, which is

.
Consequently, 4 is the common factor between 8 and 20.
Hence, option 3 is correct.

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