### Instruction: What is the greatest common factor of 68 and 92?### Response: To find the greatest common factor of two numbers, I need to factorize them into prime factors and look for the common ones.
I can use a factor tree or a division method to do this.
For 68, I notice that it is even, so I can divide it by 2.
68 divided by 2 is 34, which is still even, so I can divide it by 2 again.
34 divided by 2 is 17, which is prime, so I can stop here.
So the prime factorization of 68 is 2 times 2 times 17.
For 92, I also notice that it is even, so I can divide it by 2 as well.
92 divided by 2 is 46, which is still even, so I can divide it by 2 again.
46 divided by 2 is 23, which is prime, so I can stop here.
So the prime factorization of 92 is 2 times 2 times 23.
Now I can compare the two factorizations and look for the common factors.
I see that both 68 and 92 have two 2s in their factorization, but nothing else in common.