GCF of 77 and 55
Understand the Problem
The question is asking for the greatest common factor (GCF) of the numbers 77 and 55. To find the GCF, we need to identify the largest integer that divides both numbers without leaving a remainder.
Answer
$11$
Answer for screen readers
The greatest common factor of 77 and 55 is $11$.
Steps to Solve
- List the factors of each number
First, we need to find the factors of both 77 and 55.
Factors of 77: 1, 7, 11, 77
Factors of 55: 1, 5, 11, 55
- Identify the common factors
Next, we will find the factors that are common to both lists.
From the lists we found:
Common factors of 77 and 55: 1, 11
- Determine the greatest common factor
Now we will choose the largest number from the common factors.
The greatest common factor (GCF) is 11.
The greatest common factor of 77 and 55 is $11$.
More Information
The GCF is essential in simplifying fractions, finding multiples, and solving problems that involve divisibility. It's a useful tool in number theory and helps in various applications in mathematics.
Tips
- Forgetting to list all factors: Ensure you don't skip any factors when finding them.
- Confusing GCF with least common multiple (LCM): Remember that GCF is about what numbers are common in the division, while LCM is about what numbers are common in multiples.
