HCF of 9 and 12
Understand the Problem
The question is asking for the highest common factor (HCF) of the numbers 9 and 12. To solve this, we will identify the factors of both numbers and find the greatest one they have in common.
Answer
3
Answer for screen readers
The highest common factor (HCF) of 9 and 12 is 3
Steps to Solve
- Find the factors of both numbers
List out the factors of each number.
- Factors of 9: 1, 3, 9
- Factors of 12: 1, 2, 3, 4, 6, 12
- Identify common factors
Find the common factors from both lists.
- Common factors of 9 and 12: 1, 3
- Find the highest common factor
Choose the greatest common factor from the list of common factors.
- The greatest common factor is 3
The highest common factor (HCF) of 9 and 12 is 3
More Information
The highest common factor (or greatest common divisor) is the largest number that divides both of the given numbers without any remainder.
Tips
Sometimes people mix up the concepts of highest common factor (HCF) and least common multiple (LCM). Remember, the HCF is the largest number that divides both numbers, while the LCM is the smallest number that is a multiple of both.
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