What Is The Greatest Common Factor Of 24, 40, And 32?

What are the common factors of 24, 32, and 40? To find the common factors of these three numbers, we first list the factors of each number.

For 24, the factors are 1, 2, 3, 4, 6, 8, 12, and 24.

For 32, the factors are 1, 2, 4, 8, 16, and 32.

For 40, the factors are 1, 2, 4, 5, 8, 10, 20, and 40.

Now, let’s identify the common factors among these lists. The common factors of 24, 32, and 40 are 1, 2, 4, and 8.

The greatest common factor (GCF) or highest common factor (HCF) among these common factors is 8.

To determine the least common multiple (LCM) of the numbers 24, 32, and 40, we need to find the smallest multiple that all these numbers share. In this case, the LCM of 24, 32, and 40 is 480. This means that 480 is the smallest number that is evenly divisible by all three of these values, making it a common multiple. Calculating it step by step, you can find that 24 multiplied by 20 equals 480, 32 multiplied by 15 also equals 480, and 40 multiplied by 12 equals 480. Therefore, 480 is the least common multiple of 24, 32, and 40, making it the answer to the question.