Determine the 20 and 28 common factors.

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1,2 and 23.

1,2 and 5.

1,7, 11 and 13.

1,2 and 4.

answer is D.

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Detailed Solution

Concept- Find the prime factorization of the supplied integers in this type of question first. Discover each of the first number's factors after determining the prime factorization. Similar to the first number, identify all of its elements before noting any shared factors.
The terms prime factors and factors are distinct. Prime factors are those that totally divide the supplied number and are prime numbers. A number's factor is, which evenly divides the number.
The numbers 20 and 28 are provided.
The given numbers will first be written in product form as shown below:
As a product, 20 can be written as follows:

20 = 2 \times 2 \times 5

In product form, 28 can be written as follows:

28 = 2 \times 2 \times 7

As a result of the prime factorization, we can now write the factors of the two numbers as follows:
There are 20 factors in total: 1, 2, 4, 5, 10, 20.
1, 2, 4, 7, 14, and 28 make up the number 28.
Therefore, the factors that both of the provided integers share are 1, 2, and 4.
As a result, factors 1, 2, and 4 are common.
Hence, option 4 is correct.

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