What is the GCF of 10 and 12?
Understand the Problem
The question is asking for the greatest common factor (GCF) of the numbers 10 and 12. To find the GCF, we will identify the factors of both numbers and determine the largest factor that they share.
Answer
The GCF of 10 and 12 is $2$.
Answer for screen readers
The greatest common factor (GCF) of 10 and 12 is $2$.
Steps to Solve
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Identify the factors of 10 The factors of 10 are the numbers that divide 10 without a remainder. These are: $$ 1, 2, 5, 10 $$
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Identify the factors of 12 Similarly, we find the factors of 12. The factors of 12 are: $$ 1, 2, 3, 4, 6, 12 $$
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Find the common factors Next, we find the common factors between 10 and 12. The common factors are the numbers that appear in both lists: $$ 1, 2 $$
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Determine the greatest common factor The greatest common factor (GCF) is the largest number in the list of common factors. In this case, the GCF is: $$ 2 $$
The greatest common factor (GCF) of 10 and 12 is $2$.
More Information
The greatest common factor helps in simplifying fractions and finding least common multiples. It’s also crucial in factoring polynomials and reducing ratios.
Tips
- Failing to list all the factors correctly can lead to an incorrect GCF. Make sure to double-check the factor lists.
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