What is the GCF of 12 and 26?
Understand the Problem
The question is asking for the greatest common factor (GCF) of the numbers 12 and 26. To find this, we identify the factors of both numbers and determine the largest one that they share.
Answer
2
Answer for screen readers
The greatest common factor of 12 and 26 is ( 2 ).
Steps to Solve
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Identify the factors of 12 To find the GCF, we first list all the factors of 12. The factors of 12 are: 1, 2, 3, 4, 6, 12.
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Identify the factors of 26 Next, we list all the factors of 26. The factors of 26 are: 1, 2, 13, 26.
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Find the common factors Now we look for the factors that are present in both lists:
- Factors of 12: 1, 2, 3, 4, 6, 12
- Factors of 26: 1, 2, 13, 26
The common factors are 1 and 2.
- Determine the greatest common factor The greatest of the common factors we found is 2. Therefore, the GCF of 12 and 26 is 2.
The greatest common factor of 12 and 26 is ( 2 ).
More Information
The GCF is useful in simplifying fractions, finding the least common multiple, and solving problems that involve dividing things into groups.
Tips
- Failing to list all factors completely. Make sure to check both numbers thoroughly.
- Confusing the GCF with the least common multiple (LCM). Remember that GCF is the largest common factor, while LCM is the smallest common multiple.
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