gcf of 48 and 96
Understand the Problem
The question is asking for the greatest common factor (GCF) of the numbers 48 and 96. To do this, we will find the factors of both numbers and identify the largest one that they share.
Answer
$48$
Answer for screen readers
The greatest common factor (GCF) of 48 and 96 is $48$.
Steps to Solve
- List the factors of 48
To find the factors of 48, we divide it by all integers from 1 up to 48. The factors of 48 are:
1, 2, 3, 4, 6, 8, 12, 16, 24, 48
- List the factors of 96
Similarly, we find the factors of 96 by dividing it by all integers from 1 up to 96. The factors of 96 are:
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
- Identify the common factors
Next, we identify the common factors from both lists:
Common factors of 48 and 96 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
- Find the greatest common factor
To find the GCF, we take the largest number from the common factors:
The greatest common factor is 48.
The greatest common factor (GCF) of 48 and 96 is $48$.
More Information
The greatest common factor is the largest positive integer that divides two or more integers without a remainder. In this case, both 48 and 96 can be evenly divided by 48, making it the GCF.
Tips
- Forgetting to list all possible factors of each number. This can lead to missing the GCF.
- Confusing GCF with least common multiple (LCM), which is different.
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