Question

Find the GCF. Also, Find whether the numbers are relatively prime or not :$34,38$

Short answer

The GCF is . It is not a relatively prime number.

Step-by-step solution

Step -1 - Apply the concept of   GCF and relatively Prime

In this, simply use the concept of finding the GCF by doing the factors of the number and find the factor which is common and greatest from them and also know the concept of relatively prime that means those whose have a only factor not other than any other.

Step -2 – Find the common factors

Here, the numbers are 34,38.

First finding the factors of numbers.

The factor of 34 is 34=17times 2

The factor of 38 is 38=19times 2

Step -3 – Finding the GCF and know whether it is relatively prime or not

Now, the common factor among the numbers are2 .

So, the greatest common factor is2 .

Since, the two numbers have HCF other than 1, therefore they are not relatively prime.