What is the GCF of 56 and 35?
Understand the Problem
The question is asking for the greatest common factor (GCF) of the numbers 56 and 35. To solve this, we will identify the factors of both numbers and determine which is the largest factor they share.
Answer
The GCF of 56 and 35 is $7$.
Answer for screen readers
The greatest common factor (GCF) of 56 and 35 is $7$.
Steps to Solve
- List the Factors of Each Number
First, we will list the factors of both 56 and 35.
- The factors of 56 are: 1, 2, 4, 7, 8, 14, 28, 56
- The factors of 35 are: 1, 5, 7, 35
- Identify Common Factors
Next, we will find the factors that both numbers share.
- The common factors of 56 and 35 are: 1, 7
- Determine the Greatest Common Factor
Now, we find the largest number from the common factors identified in the previous step.
- The greatest common factor is 7
The greatest common factor (GCF) of 56 and 35 is $7$.
More Information
The greatest common factor (GCF) helps simplify fractions and is useful in various aspects of number theory. It represents the largest whole number that can evenly divide both original numbers without leaving a remainder.
Tips
- Forgetting to list all factors: Always ensure that you thoroughly list all factors for both numbers.
- Not correctly identifying the largest common factor: It's easy to overlook the largest shared factor, so be sure to compare correctly.
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