What is the GCF of 54 and 45?
Greatest Common Factor of two numbers is the largest number that divides the two numbers exactly leaving the remainder 0
Answer: The GCF of 54 and 45 is 9
We can find the GCF by the following methods
Methods to find GCF of 54 and 45
We can calculate the greatest common factor(GCF), by the following methods
Long Division Method
Listing Common Factors Method
Greatest Common Factor of 54 and 45 by Long Division
Find the GCF(54, 45) by long division by following the steps mentioned below.
- Step 1: Divide 54 by 45 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
So, GCF of 54 and 45 is 9
Greatest Common Factor of 54 and 45 by Listing the Common Factors
The factors f 54 and 45 are shown below.
There are three common factors of 54 and 45, that are, 1, 3 and 9
The solution to our question GCF of 54 and 45 is the same by both methods.