Question

To find the greatest common factor (GCF) of the given sets of numbers:

-GCF of (48, 87, 6).
-GCF of (65, 52, 13).

Answer 1

To find the GCF of a given set of numbers, use the prime factorization method and identify the common prime factors with the smallest exponent.

Step-by-step explanation:

To find the greatest common factor (GCF) of a given set of numbers, we can use the prime factorization method. Let's find the GCF of (48, 87, 6) as an example:

1. Prime factorize each number:
   - 48 = 2^4 x 3^1
   - 87 = 3^1 x 29^1
   - 6 = 2^1 x 3^1
2. Identify the common prime factors and their smallest exponent:
   - The common prime factor is 3, and the smallest exponent is 1.
3. Multiply the common prime factors together:
   - GCF = 3^1 = 3

Therefore, the GCF of (48, 87, 6) is 3. You can apply the same method to find the GCF of (65, 52, 13).