Find the greatest common factor (GCF).

Question

26 and 4

Answer 1

To find the greatest common factor (GCF) of 26 and 4, we can determine the prime factors of each number.

First, let's find the prime factorization:

• The prime factorization of 26 is $2\times 13$.
• The prime factorization of 4 is $2^2$ (or $2\times 2$).

Now, identify the common factors:

The only common prime factor between 26 and 4 is $2$.

Now, we take the lowest power of the common prime factor:

• The lowest power of $2$ present in both factorizations is $2^1$.

Thus, the GCF of 26 and 4 is:

$$\text{GCF}=2$$