Question

What is the highest common factor of 24 and 48?
a. 12
b. 8
c. 24

Answer 1

Answer:

The highest common factor of 24 and 48 is 24

Step-by-step explanation:

24 ) 48 ( 2

 -    48

 -----------

       0

 -----------

Answer 2

Answer : $\bold{24}$



Explanation -

Finding the Highest Common Factor (HCF) -

We can find HCF by three methods -

1) By Factorisation Method

2) By Prime Factorisation Method

3) By Division Method

Finding HCF by Prime Factorisation Method -

First find Prime Factors of both the given numbers -

24 = 2 x 2 x 2 x 3

48 = 2 x 2 x 2 x 2 x 3

Common Prime Factors are 2, 2, 2 and 3

HCF = 2 x 2 x 2 x 3 = 24.

Hence :

Highest Common Factor of 24 and 48 is 24.