What is the greatest common factor of the following lists of numbers?
$19,57$

• A. $3$
• B. $57$
• C. $19$
• D. $1$

Answer: (C)

Verified step by step guidance

1. Identify the terms given in the problem. Since the problem is about finding the GCF (Greatest Common Factor) of terms, first write down all the terms clearly.
2. Factor each term into its prime factors, including both numerical coefficients and variables with their exponents. For example, if a term is \$12x^3y$, factor it as \(2 \times 2 \times 3 \times x^3 \times y\).
3. Look for the common factors that appear in every term. This includes the smallest powers of variables and the prime numbers that are common to all terms.
4. Multiply all the common factors together to find the GCF. This product will be the greatest factor that divides all the terms without leaving a remainder.
5. Write the GCF as the product of the common prime factors and variables with their smallest exponents. This is the final expression for the Greatest Common Factor of the given terms.