What is the GCF of 52 and 68?
The highest common factor of two numbers is the largest whole number which is a factor of both.
Answer: The GCF of 52 and 68 is 4
Let us see how to find the GCF of 52 and 68
We can find the GCF by the following two methods:
- listing the factors
- long division method
Method 1: GCF of 52 and 68 by listing the factors
Factors of 52: 1, 2, 4, 13, 26, 52
Factors of 68: 1, 2, 4, 17, 34, 68
Hence, GCF is 4
Method 2: GCF by long division method
Step 1: Divide the largest number by the smallest number. i.e, 68 divided by 52
Step 2: Take divisor as new dividend and remainder as the new divisor, i.e. divide the first divisor by the first remainder.
Step 3: Proceed till the remainder is zero and the last divisor will be the GCF of the given numbers.