Find the GCF (greatest common factor) of the following terms.
{49x^3, 10, 14}
To find the greatest common factor (GCF) of these terms, we can start by finding the prime factorization of each term:
49x^3 = 7^2 * x^3
10 = 2 * 5
14 = 2 * 7
Next, we look for the highest exponent for each prime factor that appears in all of the terms:
The prime factor 2 appears in the prime factorization of 10 and 14, so it is in the GCF.
The prime factor 7 appears in the prime factorization of 49x^3 and 14, so it is also in the GCF.
The prime factor x does not appear in the prime factorization of 10 or 14, so it is not in the GCF.
Therefore, the GCF of 49x^3, 10, and 14 is 2 * 7, which is 14.