Question

find the greatest common factors of 24 and 100​

Answer 1

Answer:

4

Step-by-step explanation:

100 = 2^2 + 5^2

24 = 2^3 + 3^1

So, HCF = 2^2 = 4

Answer 2

Answer:

HCF of 24 & 100 = 4

Step-by-step explanation:

We can solve this in 2 ways

Method 1 (Higher grade method)

24 = 2 × 2 × 2 × 3 = 2³ × 3

100 = 2 × 2 × 5 × 5 = 2² × 5²

This, to find HCF we must take the lowest power of the common prime number,

Here, the common prime number is 2 and lowest power is 2

Thus,

HCF = 2² = 2 × 2 = 4

HCF of 24 & 100 = 4

Method 2 (Traditional method)

2 | 24 , 100

—————

2 | 12 , 50

—————

6 , 25

Thus, now we can stop because 6 and 25 have no other common factor other than 1

HCF = 2 × 2 = 4

HCF of 24 and 100 = 4

Hope it helped and you understood it........All the best