Find the GCF of 78 and 86.(1 point) Responses 1 1 86 86 3 3 2

Answer 1

To find the greatest common factor (GCF) of 78 and 86, we can start by finding the prime factorization of each number.

1. Prime factorization of 78:

   • \( 78 = 2 \times 39 \)
   • \( 39 = 3 \times 13 \)
   • So, \( 78 = 2 \times 3 \times 13 \)

2. Prime factorization of 86:

   • \( 86 = 2 \times 43 \)
   • So, \( 86 = 2 \times 43 \)

Now we can find the common factors. Both numbers have the factor \(2\) in common.

Thus, the GCF of 78 and 86 is 2.