simply 10/16 using the gcf

To simplify 10/16 using the greatest common factor (GCF), we need to find the highest number that evenly divides both 10 and 16.

The prime factorization of 10 is 2 * 5.
The prime factorization of 16 is 2 * 2 * 2 * 2.

To find the GCF, we look for the common factors between the two numbers, which are the common prime factors raised to the lowest power they appear in both numbers. In this case, the only common prime factor is 2, and it appears in both numbers with the lowest power of 2.

So, the GCF of 10 and 16 is 2.

To simplify 10/16, we divide both the numerator and denominator by the GCF:

10 ÷ 2 = 5
16 ÷ 2 = 8

Therefore, 10/16 simplifies to be 5/8.