What is the HCF of 25 and 40?
HCF(Highest Common Factor) of 25 and 40 is the largest possible number which precisely divides both 25 and 40
Answer: HCF of 25 and 40 is 5
We will explain two methods to find the highest common factor of 25 and 40.
Explanation
The highest common factor of two numbers x and y is the greatest number that divides x and y leaving the remainder as 0

HCF of 25 and 40 by Listing the Common Factors

HCF of 25 and 40 is 5 by Long Division
Method 1: HCF of 25 and 40 by Listing the Common Factors
List the factors of 25 and 40 and identify the common factors. The greatest among them is the GCF.
Factors of 25: 1, 5, 25
Factors of 40: 1, 2, 4, 5, 8, 10, 20, 40
Common Factors of 25 and 40: 5
The highest common factor between 25 and 40 is 5
Hence, the HCF of 25 and 40 is 5
Method 2: HCF of 25 and 40 is 5 by Long Division
Step 1: Divide 40 by 25 and check the remainder. Here, the remainder is 15
Step 2: Make the remainder 15 as the new divisor and the previous divisor 25 as the dividend and perform the long division again and so on. The last divisor will be our HCF.
Step 3: Continue till you get the remainder as 0
The last divisor of this process is the HCF of 25 and 40. So, HCF (25, 40) = 5
You can find the HCF of 25 and 40 in any of the above methods but the solution will be the same.