Question

what is the greatest common factor of 4 and 5?

Explanation:

Step1: Find factors of 4

The factors of 4 are the numbers that divide 4 without leaving a remainder. So, \(1\times4 = 4\) and \(2\times2 = 4\). Thus, the factors of 4 are 1, 2, 4.

Step2: Find factors of 5

The factors of 5 are the numbers that divide 5 without leaving a remainder. So, \(1\times5 = 5\). Thus, the factors of 5 are 1, 5.

Step3: Identify common factors

Now, we look for the numbers that are factors of both 4 and 5. From the factors of 4 (1, 2, 4) and factors of 5 (1, 5), the only common factor is 1.

Step4: Determine the greatest common factor

Since the only common factor of 4 and 5 is 1, the greatest common factor (GCF) is 1.

Answer:

1