What is the hcf of 72 120 and 144?

Answer 1

See method below:

Number of times each prime factor

appears in the factorization of :

Prime

Factor Number

72 Number

120 Number

144 G.C.F

2 3 3 4 3

3 2 1 2 1

5 0 1 0 0

GCF = 2 cubed (2 times 2 times 2)= 8. 8 times 3 = 24

Therefore the HCF of 72 120 and 144 is 24

Answer 2

The highest common factor (HCF) of 72, 120, and 144 is the largest number that divides each of them without leaving a remainder. To find the HCF, you first need to determine the prime factors of each number. The prime factorization of 72 is 2^3 * 3^2, 120 is 2^3 * 3 * 5, and 144 is 2^4 * 3^2. The HCF is the product of the common prime factors raised to the lowest power, which in this case is 2^3 * 3 = 24.

Answer 3

Well, isn't that a happy little math question! The highest common factor (HCF) of 72, 120, and 144 is 24. Just like when we blend colors on our palette to create a beautiful painting, these numbers can be broken down into their factors to find the greatest one they all share, which in this case is 24. Keep up the great work exploring the world of numbers!

Answer 4

The GCF is 24.

Answer 5

HCF(72, 120, 144) = 24.