Final answer:
The GCF of 95, 42, and 97 is 1 because the prime factorizations of these numbers do not share any common factors other than 1.
Step-by-step explanation:
To find the Greatest Common Factor (GCF) of the numbers 95, 42, and 97, we need to look for the highest number that can divide all three numbers without leaving any remainder. When considering 95, 42, and 97, we notice that:
- 95 is a product of the prime numbers 5 and 19,
- 42 is a product of the prime numbers 2, 3, and 7,
- 97 is a prime number itself, hence it only has 1 and 97 as its factors.
Since the prime factorization of these numbers does not share any common factors other than 1, the GCF of 95, 42, and 97 is 1.