What is the GCF of 28 and 36?
Understand the Problem
The question is asking for the greatest common factor (GCF) of the numbers 28 and 36, which involves finding the largest positive integer that divides both numbers without leaving a remainder.
Answer
The GCF of 28 and 36 is 4.
Answer for screen readers
The greatest common factor (GCF) of 28 and 36 is 4.
Steps to Solve
- List the factors of each number
First, we will find the factors of 28 and 36.
Factors of 28: 1, 2, 4, 7, 14, 28
Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36
- Identify the common factors
Next, we look for the factors that are common between the two lists we generated.
Common factors of 28 and 36: 1, 2, 4
- Select the greatest common factor
Finally, we need to determine the largest number from the common factors listed above.
The greatest common factor is 4.
The greatest common factor (GCF) of 28 and 36 is 4.
More Information
The greatest common factor (GCF) is useful in simplifying fractions and finding common denominators. Understanding how to determine the GCF can help in various mathematical applications, including number theory and algebra.
Tips
One common mistake is forgetting to list all factors accurately, leading to an incorrect identification of the common factors. To avoid this, double-check that you have included all factors of each number.
