Question

greatest common factor of 8 and 12

Answer 1

The greatest common factor of 8 and 12 can be found by the HCF method.
As we know, 8 = 2 x 2 x 2
and, 12 = 2 x 2 x 3
The common factors of 8 and 12 are 2 x 2 or 4.
Hence 4 is the greatest or highest common factor of 8 and 12.

*Thankyou*

Answer 2

Answer:

The greatest common factor of 8 and 12 is 4.

Step-by-step explanation:

Here given digit is 8 and 12.

We want to find greatest common factor of these digits.

Now question is what is meaning of greatest common factor?

Greatest common factor means Highest Common Factor.

Highest common factor means HCF

By one example, we can understand this concept easily.

We are taking two numbers 20 and 25

By prime factorisation,

$20 = 2 \times 2 \times 5 \\ 25 = 5 \times 5$

Highest common factor of 20 and 25 is 5.

Therefore HCF of 20 and 25 is 5.

Here given two digits are 8 and 12.

By prime factorisation,

$8 = 2 \times 2 \times 2 \\ 12 = 2 \times 2 \times 3$

Highest common factor of 8 and 12 is (2×2)=4

So HCF of 8 and 12 is 4.

Therefore greatest common factor of 8 and 12 is 4.