What is the HCF of 24 and 32?
Highest Common Factor of or more numbers is the greatest number which divides the given numbers 24 and 32 without any remainder.
Answer: HCF of 24 and 32 is 8
We can find the HCF of 24 and 32 in many ways.
Methods to Find HCF of 24 and 32
We can find the HCF by the following methods
Listing the common factors method
Method 1: HCF of 24 and 32 by Prime Factorization
here , we represent 24 and 32 as a product of prime numbers and HCF of 24 and 32 is the product of the numbers that are common to the given numbers
HCF is 2× 2× 2 = 8
Method 2: HCF of 24 and 32 by Listing the Common Factors
Let us list the factors of 24 and 32 and identify the common factors among them. The biggest common factor is the HCF of 24 and 32.
Common Factors of 24 and 32 : 1, 2, 4, 8
Greatest common factor= 8
HCF of 24 and 32 is 8
Method 3: HCF of 24 and 32 by Long Division Method
- Step 1: Divide 32 by 24 and check the remainder.
- Step 2: Make the remainder 8 as the divisor and the 1st divisor 24 as the dividend and perform the long division again.
- Step 3: Continue till you get remainder as 0
- Step 4: The divisor of the final step is the HCF of the given numbers.
HCF of 24 and 32 is 8.
You can find the HCF in any of the above methods but the solution will be the same.