Question

Find HCF of 25 and 65​

Answer 1

Answer:

HCF (25, 65) = 5

Step-by-step explanation:

We can solve it in ways,

1. The Primary way

2. The Prime factorization way

Let's see both ways,

1. Primary method

We have 25 and 65.

Now,

5 | 25, 65

—————

5, 13

Now,

Since there are no numbers that have a common factor of 5 and 13 we can stop here, and the product of the numbers on the left will give its HCF.

So,

HCF (25, 65) = 5

2. Prime factorization method

We know,

25 = 5 × 5 = 5²

65 = 5 × 13 = 5¹ × 13¹

Here the common factor is 5 only,

When finding HCF, the least powers of the common factors are chosen

Here 5¹ is the lowest power of the common factor 5.

So,

HCF (25, 65) = 5¹ = 5

Thus,

HCF (25, 65) = 5

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