Question
What is the greatest common factor of 83, 71, 19, and 81?
Answers
GPT-4o mini
To find the greatest common factor (GCF) of the numbers 83, 71, 19, and 81, we first note the nature of these numbers.
- The numbers 83 and 71 are both prime numbers.
- The number 19 is also a prime number.
- The number 81 can be factored into \(3^4\).
Since 83, 71, and 19 are primes, they do not share any factors with each other, and they also do not share factors with 81 (which is a product of the prime number 3).
The only factor that all these numbers have in common is 1, since 1 is a factor of every integer.
Thus, the greatest common factor of 83, 71, 19, and 81 is:
\[
\text{GCF} = 1
\]
- The numbers 83 and 71 are both prime numbers.
- The number 19 is also a prime number.
- The number 81 can be factored into \(3^4\).
Since 83, 71, and 19 are primes, they do not share any factors with each other, and they also do not share factors with 81 (which is a product of the prime number 3).
The only factor that all these numbers have in common is 1, since 1 is a factor of every integer.
Thus, the greatest common factor of 83, 71, 19, and 81 is:
\[
\text{GCF} = 1
\]