# What is the GCF of 4 and 5?

Greatest Common Factor (GCF): A number that is the largest and also is perfectly or exactly dividing the given set of numbers.

## Answer: GCF of 4 and 5: 1

Let us see a few ways to find the GCF of 4 and 5.

## Explanation

GCF(4,5) can be found in many ways, let us see how to find using two methods.

- Listing the Factors
- Long Division

### Listing the Factors to Find GCF(4,5):

- List the factors of the given numbers.
- Spot the common factors.
- Mark the largest amongst the common factors as the GCF

Factors of 4: **1**, 2, 4

Factors of 5: **1**, 5

Greatest Common Factor of 4 and 5 is 1.

GCF(4 and 5): 1

### Long Division Method:

- Take the larger number as the dividend and the smaller number as the divisor.
- In the next step, the divisor acts as the dividend and the remainder as the divisor.
- This continues until a 0 is obtained as the remainder.
- The last divisor is taken as the GCF

Note that 4 and 5 are consecutive numbers. GCF of consecutive numbers will always be 1.