What is the GCF of 25 and 40?
Greatest Common Factor of 25 and 40 is the largest possible number which divides 25 and 40 exactly without any remainder.
Answer: GCF of 25 and 40 is 5
Two methods to find the GCF of 25 and 40 are explained below.
Methods to find GCF of 25 and 40
We can calculate the greatest common factor(GCF), by the following methods
- Long division Method
- Listing the common factors method
GCF of 25 and 40 by Long Division
Step 1: Divide 40 by 25 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
GCF of 25 and 40 by Listing the Common Factors
The two common factors of 25 and 40 are 1 and 5
The greatest common factor of 25 and 40 is 5
Clearly, by both the methods we get the same answer, that is, GCF (25, 40) = 5