find the hcf of 12,16
Answers
Answer:
12 is divisible by all of these numbers. The factors for 16 are 1, 2, 4, 8, 16. The two numbers (12 and 16) share common factors (1, 2, 4). The greatest of these is 4 and that is the greatest common factor
Step-by-step explanation:
1. Find the prime factorization of 12
12 = 2 × 2 × 3
2. Find the prime factorization of 16
16 = 2 × 2 × 2 × 2
Answer:
The HCF of 12 and 16 is 4.
Step-by-step explanation:
Given: The numbers are 12 and 16.
We have to find the HCF of the above numbers.
- As we know, the HCF (Highest Common Factor) of two or more numbers is the highest number among all the common factors of the given numbers.
- HCF is also known as the greatest common factor.
We are solving in the following way:
We have,
The numbers are 12 and 16.
First, we will find the factors of the above numbers.
The factors of 12 are:
The factors of 16 are:
From the above, we can see that 4 is the highest number among all the common factors of the given numbers.
So, the greatest common factor(HCF) is 4.