What is the GCF of 8 and 36?
To find the Greatest Common Factor of two numbers, we have to determine the largest possible number which divides the two numbers exactly leaving the remainder as 0.
Answer: GCF of 8 and 36 is 4
We can explain the GCF of 8 and 36 by the following two methods.
Methods to find GCF of 8 and 36
- Listing the common factors method
- Long Division Method
GCF of 8 and 36 by Listing the Common Factors
The list of factors of 8 and 36 is shown below.
We can observe that the common factor of 8 and 36 are 1, 2, and 4
So, the greatest common factor of 8 and 36 is 4
GCF of 8 and 36 is 4
GCF of 8 and 36 by Long Division
- Step 1: Divide 36 by 8 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 and GCF(8, 36) is the last divisor in the division process.
You can find the GCF in any of the above methods but the solution will be the same.