What is the HCF of 3 and 5?
Highest Common Factor of 3 and 5 is the greatest possible number which divides the numbers 3 and 5 exactly leaving the remainder as 0.
Answer: HCF of 3 and 5 is 1
We can find the HCF by the following two methods.
- Long division Method
- Prime factorization Method
HCF of 3 and 5 by Long Division
- Step 1: Divide 5 by 3 and check the remainder.
- Step 2: Make the remainder of the above step as the divisor and the divisor of the above step as the dividend and perform the long division again.
- Step 3: Continue till you get the remainder as 0 and HCF of 3 and 5 will be the last divisor obtained in this process.
HCF of 3 and 5 by Prime Factorization
We will express the numbers 3 and 5 as a product of their prime factors.
Prime factorization of 3 is 3 × 1
Prime factorization of 5 is 5 × 1
The common factor in both prime factorization = 1
HCF is the product of the prime factors that are common to the prime factorization of 3 and 5
So, HCF of 3 and 5 is 1
You can find the HCF in any of the above methods but the solution will be the same.