what is the gcf of 32 and 48

The greatest common factor (GCF) of 32 and 48 is 16. This can be found by comparing the prime factorization of each number. The prime factorization of 32 is 2 × 2 × 2 × 2 × 2, and the prime factorization of 48 is 2 × 2 × 2 × 2 × 3. When comparing the prime factorization of these two numbers, it is evident that they share common prime factors, which are 2 and 2. By multiplying these common prime factors, the GCF of 32 and 48 is determined to be 16.