What is the GCF of 16 and 24?
Answer – The GCF of 16 and 24 is 8.
Explanation:
GCF stands for “greatest common factor”. It is also referred to as HCF or “highest common factor”.
The factor of a number is its divisor. This is a number such that when the original number is divided by it, the answer is a whole number with the remainder being zero. For instance, if 8 is divided by the number 2, the answer is the whole number 4. There is no remainder requiring the addition of decimals to 4. Thus, 2 is a factor of 8.
GCF or HCF of two or more numbers is the largest number that is a common factor among them. In order to calculate it, one should first list out all the factors of each number, and then select the largest number that appears on both lists.
Using this method,
the factors of 16 are 1, 2, 4, 8 and 16, and
the factors of 24 are 1, 2, 3, 4, 6, 8, 12 and 24.
The common factors here are 1, 2, 4 and 8. Of these, the greatest or highest is 8.
Therefore, the GCF of 16 and 24 is 8.
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