What is the greatest common factor of 69, 71, 67 and 63?

The greatest common factor (GCF) is the largest number that divides exactly into two or more numbers.

To find the GCF of 69, 71, 67, and 63, you can use the method of listing factors or prime factorization. However, in this case, it's easier to see that all these numbers are relatively prime, meaning they have no common factors other than 1.

Here's a step-by-step process:

1. List the factors of each number:

   • Factors of 69: 1, 3, 23, 69
   • Factors of 71: 1, 71
   • Factors of 67: 1, 67
   • Factors of 63: 1, 3, 7, 9, 21, 63

2. Identify the common factors: The only common factor for all four numbers is 1.

So, the greatest common factor of 69, 71, 67, and 63 is 1.