What is the GCF of 38 and 57?
The largest possible number which divides the given numbers exactly without leaving any remainder is called the GCF (Greatest Common Factor).
Answer: GCF of 38 and 57 is 19
We will explain two methods to find the GCF of 38 and 57
The two methods that we are using to find GCF of 38 and 57 are shown below.
- Listing the common factors method
- Long Division method
Method 1: Find GCF of 38 and 57 by Listing Common Factors
The factors of 38 and 57 are shown below.
The common factors of 38 and 57 are 1 and 19.
Clearly, the greatest common factor is 19.
So, GCF of 38 and 57 is 19.
Method 2: Find GCF of 38 and 57 by Long Division
The steps to find the GCF(38, 57) by long division are mentioned below.
Step 1: Divide 57 by 38 and check the remainder. We get the remainder as 19.
Step 2: Make the remainder of the above step 19 as the divisor and the divisor of the above step 38 as the dividend and perform the long division again.
Step 3: Now we get the remainder as 0, therefore the GCF of 38 and 57 is 19.
The greatest common factor of 38 and 57 is 19.
You can find the GCF in any of the above methods but the solution will be the same.