[[1]] is the common factor and the highest common factor of 92 and 100.

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Detailed Solution

According to the problem, we need to find the common factors and highest common factors of 92 and 100.
Let us first find the factors of the number 92.
So, we know that 92 = 2×46
⇒92 = 1×2×2×23
We know that 2 and 23 are prime numbers, so cannot be factored further.
Now, the factors of 92 are 1, 2, 4, 23, 46, 92 ---(1).
Now, let us find the factors of the number 100.
We know that 100 = 2×50.
⇒100 = 2×2×25.
⇒100 = 1×2×2×5×5. We know that 2 and 5 are prime numbers, so cannot be factored further.
Now, the factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, 100 ---(2).
From equations (1) and (2), we can see that the common factors of the numbers 92 and 100 are 1, 2, 4.
We can see that 4 is the highest of the obtained common factors.
So, the highest common factor is 4.

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