What is the GCF of 15 and 60?

Understand the Problem

The question is asking for the greatest common factor (GCF) of the numbers 15 and 60. To solve it, we need to find the largest number that divides both 15 and 60 without leaving a remainder.

Answer

The GCF of 15 and 60 is 15.

Steps to Solve

List the factors of each number First, we will find the factors of both 15 and 60.

Factors of 15: 1, 3, 5, 15
Factors of 60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

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

Common factors: 1, 3, 5, 15

Determine the greatest common factor Now, we will find the largest number from the common factors list.

The greatest common factor is 15.

The greatest common factor (GCF) of 15 and 60 is 15.

More Information

The GCF is important in mathematics for simplifying fractions, finding common denominators, and solving problems where shared factors are needed. Understanding how to find the GCF helps in various areas such as number theory and fractional arithmetic.

Tips

Forgetting to list all factors: Ensure all factors are listed correctly for both numbers.
Confusing common factors with multiples: Remember that GCF involves finding common factors, not multiples.

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