Find : H.C.F. (3, 5)

Answer

To find the H.C.F. (Highest Common Factor) of the numbers 3 and 5, we can follow these steps:

### Step 1: Identify the Numbers
We need to find the H.C.F. of the numbers 3 and 5.

### Step 2: Prime Factorization
- The prime factorization of 3 is simply 3 itself, as it is a prime number.
- The prime factorization of 5 is also 5 itself, as it is also a prime number.

### Step 3: Write the Prime Factorizations
- For 3: \( 3 = 3^1 \)
- For 5: \( 5 = 5^1 \)

### Step 4: Identify Common Factors
Now, we look for common factors between the two numbers. The only common factor between 3 and 5 is 1.

### Step 5: Conclusion
Since the only common factor is 1, we conclude that:
\[ \text{H.C.F. (3, 5)} = 1 \]