To find the greatest common factor (GCF) of 95 and 304, we first need to determine the prime factors of each number.
Starting with 95, we can see that it is divisible by 5:
95 ÷ 5 = 19.
So, the prime factors of 95 are 5 and 19.
Next, we look at 304. We can divide 304 by 2, its smallest prime factor:
304 ÷ 2 = 152,
152 ÷ 2 = 76,
76 ÷ 2 = 38,
38 ÷ 2 = 19.
Thus, the prime factors of 304 are 2 (three times) and 19.
Now, we list the prime factors:
95 = 5 × 19
304 = 2 × 2 × 2 × 19
The only common prime factor between the two numbers is 19. Therefore, the GCF of 95 and 304 is 19.
In conclusion, the greatest common factor of 95 and 304 is 19.