Gcf of 64, 112

Answer 1

To find the greatest common factor (GCF) of 64 and 112, we can first find the prime factorization of each number.

1. Prime Factorization:

   • 64:
     • \(64 = 2^6\)
   • 112:
     • \(112 = 2^4 \times 7\) (since \(112 = 16 \times 7 = 2^4 \times 7\))

2. Identify Common Factors:

   • The common prime factor is \(2\).
   • The lowest power of \(2\) in both factorizations is \(2^4\).

3. Calculate the GCF:

   • Therefore, the GCF of 64 and 112 is \(2^4 = 16\).

So, the GCF of 64 and 112 is 16.