Question

common factors of 18, 30 and 66​

Answer 1

Answer: 3×2

Step-by-step explanation: 18=2×3×3

30=2×3×5

66=2×3×11

Common factor is 2×3=6

Answer 2

As per data given in the question,

We have to determine the common factor of 18, 30, 66

Common factor is nothing but the highest number which will completely divide 18, 30 and 66.

So, for finding the common factor,

We will prime factorize the given number,

So,

We will get prime factorize for given number as,

$18=2 \times 3\times 3\\30 = 5\times 2\times 3\\66 = 11\times 2\times 3$

Hence, we can observe that,

$(2\times 3) \:i.e.\: 6$ is common in all the numbers.

So, common factor of 18, 30, 66 will be 6.