The answer is: 2n .
_________________________________
The greatest common factor (GCF) of 34n and 8n² is: 2n .
__________________________________________
Step-by-step explanation:
_______________
First, break down EACH term into prime factors:
__________________________________________
Start with the first term given: "34n" :
__________________________________________
34n = 17 * 2 * n
__________________________________________
Now, do so with the second term given: "8n² " :
__________________________________________
8n² = 2 * 2 * 2 * n * n
_______________________________________________
Now, look for factors that exist in EACH of the two terms:
_______________________________________________
In the term: "34n"; there is a "17", and a "2" and a "n" — and that's it!
_______________________________________________
In the term: "8n² " that is a "2" and an "n".
_______________________________________________
So: 2 * n = 2n ; which is our answer:
_______________________________________________
The greatest common factor (GCF) of 34n and 8n² is: 2n .
_________________________________________________________