# Find the GCF of 60 and 20

GCF of 60 and 20 will be their greatest common factor that will divide the numbers with a remainder of zero

## Answer: The GCF of 60 and 20 is 20

Let us see how to find the GCF of 60 and 20

## Explanation:

Following are the methods below to calculate the GCF:

- Listing Common factors
- Long division method

### Method 1: Listing Common factors:

Let's list the factors of 20 and 60

Factors of 20: 1, 2, 4, 5, 10, 20

Factors of 60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

The greatest common factor is 20

Hence, GCF(20,60) = 20

### Method 2: Long Division method:

**Step I: **

Divide the large number by the smaller one.

**Step II: **

Then the remainder is treated as divisor and the divisor as dividend.

**Step III: **

Divide the first divisor by the first remainder.

**Step IV:**

Divide the second divisor by the second remainder.

**Step V:**

Continue this process till the remainder becomes 0.

**Step VI:**

The divisor which does not leave a remainder is the H.C.F. or G.C.F. of the two numbers and thus, the last divisor is the required greatest common factor (G.C.F) of the given numbers.