# Find the GCF of 7 and 28

The greatest common factor of two or more non-zero integers, x & y, is the greatest positive integer m, which divides both, x & y

## Answer: The GCF of 7 and 28 is 7

Let us see how to find the GCF of 7 and 28

## Explanation:

Following are the methods to calculate the GCF of 7 and 28:

- Listing Common factors
- Long division method

### Method 1: Listing Common factors of 7 and 28

Factors of 7 : 1, 7

Factors of 28: 1, 2, 4, 7, 28

- The common factors are observed which are 1 and 7
- The greatest common factor is 7

Hence, GCF is 7

### Method 2: Long division method:

a) Divide the larger number by the smaller number.

b) Now divide the divisor by the remainder.

c) Repeat the process of dividing the preceding number by the remainder last until 0 zero is obtained as remainder.

d) The last divisor is called GCF

Thus, according to the steps , 7 is the GCF