What is the GCF of 50 and 30?
Understand the Problem
The question is asking for the greatest common factor (GCF) of the numbers 50 and 30, which requires us to identify the highest number that divides both numbers without leaving a remainder.
Answer
The greatest common factor (GCF) of 50 and 30 is $10$.
Answer for screen readers
The greatest common factor (GCF) of 50 and 30 is $10$.
Steps to Solve
- List the factors of both numbers
First, we need to find all the factors of both 50 and 30.
- The factors of 50 are: 1, 2, 5, 10, 25, 50
- The factors of 30 are: 1, 2, 3, 5, 6, 10, 15, 30
- Identify the common factors
Next, we find the factors that both numbers share.
- The common factors of 50 and 30 are: 1, 2, 5, 10
- Determine the greatest common factor
Finally, we identify the largest factor from the common factors list.
- The greatest common factor (GCF) is 10.
The greatest common factor (GCF) of 50 and 30 is $10$.
More Information
The GCF is useful in simplifying fractions, finding common denominators, and solving problems in number theory. It's interesting to note that the GCF can also be determined using the prime factorization method.
Tips
A common mistake is misidentifying factors, often missing smaller ones. To avoid this, double-check the factors listed for each number.
