One way to find the GCF of 102 and 6 is to compare the prime factorization of each number. To find the prime factorization, you can follow the instructions for each number here:
Here is the prime factorization of 102:
And this is the prime factorization of 6:
When you compare the prime factorization of these two numbers, you can see that there are matching prime factors. You can now find the Greatest Common Factor of 102 and 6 by multiplying all the matching prime factors to get a GCF of 102 and 6 as 36:
Thus, the GCF of 102 and 6 is: 36