Question

The common factor of 4x and 6x2y is

Answer 1

The common factor is

4x=2×2×x

6x=2×3×x

2y=2×1×y

Ans: 2

Answer 2

Answer:

2x, 1, x

Reason why?

We can see that

4x can be written as 2(2x)

And

6x²y can be written as 3xy(2x)

x is present in both the numbers. Also, 6 and 4 are divisible by 2.

x is factor

2 is also a factor

1 is factor of every number.

1 is factor

2 × 1 × x [ From above]

→ 2x

Hence, 2x is also a factor.

Actually there are infinity number of factors because even irrational numbers, fractional numbers can also be counted.

But if the Question is about HCF, the answer is 2x