What is the greatest common factor of 4k, 18k⁴, and 12?

Solution:

We know that

Greatest common factor is the highest factor which will divide all the numbers.

First we have to find the numbers which all the values have in common

Here

Factors of 4k = 1, 2, 4 and k

Factors of 18k⁴ = 1, 2, 3, 6, 9, 18 and k

Factors of 12 = 1, 2, 3, 4, 6 and 12

The common factors are 1 and 2

Greatest common factor = 1 × 2 = 2

Therefore, the greatest common factor is 2.

What is the greatest common factor of 4k, 18k⁴, and 12?

Summary:

The greatest common factor of 4k, 18k⁴, and 12 is 2.