What is the greatest common factor of 24 and 96?

Understand the Problem

The question is asking for the greatest common factor (GCF) of the numbers 24 and 96, which requires determining the largest integer that divides both numbers without leaving a remainder.

Answer

$24$
Answer for screen readers

The greatest common factor (GCF) of 24 and 96 is $24$.

Steps to Solve

  1. List the factors of each number

First, we will find the factors of both numbers individually.

Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24

Factors of 96: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

  1. Identify the common factors

Next, we will identify the factors that are common to both lists.

Common factors of 24 and 96: 1, 2, 3, 4, 6, 8, 12, 24

  1. Determine the greatest common factor

Finally, we pick the largest number from the list of common factors.

The greatest common factor is 24.

The greatest common factor (GCF) of 24 and 96 is $24$.

More Information

The GCF is important in various mathematical contexts, especially in simplifying fractions and determining ratios. It can also be useful in solving problems involving least common multiples (LCM).

Tips

  • Confusing greatest common factor (GCF) with least common multiple (LCM).
  • Forgetting to list all factors, leading to an incomplete assessment of common factors.

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