What is the GCF of 24 and 45?

Understand the Problem

The question is asking for the greatest common factor (GCF) of the numbers 24 and 45. To solve this, we need to identify the factors of both numbers and find the largest factor that they have in common.

Answer

The GCF is $3$.

Steps to Solve

List the factors of 24

To find the factors of 24, we look for all integers that can divide 24 without leaving a remainder. The factors are:

1, 2, 3, 4, 6, 8, 12, 24

List the factors of 45

Next, we do the same for 45. The factors of 45 are:

1, 3, 5, 9, 15, 45

Identify the common factors

Now, we compare the lists of factors for both numbers:

Common factors of 24 and 45: 1, 3

Select the greatest common factor

Among the common factors (1 and 3), we select the greatest one, which is:

GCF = 3

The greatest common factor (GCF) of 24 and 45 is $3$.

More Information

The greatest common factor (GCF) is useful in many applications, including simplifying fractions and finding common denominators. In this case, the GCF of 24 and 45 helps with understanding their shared multiplicative properties.

Tips

Overlooking some factors: When listing factors, it's easy to miss numbers. Make sure to check every integer up to the number itself.
Confusing common factors with the greatest common factor: It's important to first find the common factors before determining which is the greatest.

Thank you for voting!