What Is the Greatest Common Factor of 15 and 25?

The greatest common factor of 15 and 25 is 5.

To find the greatest common factor of two numbers, we need to find the largest number that is a factor of both numbers. In other words, we need to find the largest number that we can divide both 15 and 25 by without getting a remainder.

The first number that comes to mind is 5, since we can divide both 15 and 25 by 5 without getting a remainder. However, we need to make sure that 5 is actually the largest number that we can divide both 15 and 25 by. To do this, we can keep dividing by 5 until we get a remainder.

If we divide 15 by 5, we get 3 with a remainder of 0. If we divide 25 by 5, we get 5 with a remainder of 0. So far, so good!

However, we need to keep going to make sure that 5 is actually the largest number that we can divide both 15 and 25 by. If we divide 3 by 5, we get 0 with a remainder of 3. And if we divide 5 by 5, we get 1 with a remainder of 0.

Since we were able to divide both 15 and 25 by 5 without getting a remainder, we know that 5 is the greatest common factor of 15 and 25.

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