Understanding the Highest Common Factor of 24 and 36

What is the Highest Common Factor (HCF)?

The highest common factor (HCF) is the highest number that can exactly divide two or more numbers. It is also known as the greatest common divisor (GCD) or the greatest common factor (GCF). It is important to remember that the HCF can only be determined for two or more numbers.

Calculating the Highest Common Factor of 24 and 36

To find the HCF of 24 and 36, you need to first identify the factors of each number. The factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24. The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36. Now that you have identified the factors of each number, the next step is to find the greatest number that is a common factor of both 24 and 36. In this case, the HCF of 24 and 36 is 12.

Finding the HCF using the Prime Factorization Method

The prime factorization method is another way to find the HCF of two or more numbers. To use this method, you need to find the prime factors of each number. The prime factors of 24 are 2, 2, 2, and 3. The prime factors of 36 are 2, 2, 3, and 3. Now that you have identified the prime factors of each number, you need to look for the greatest number that is common to both numbers. In this case, the HCF of 24 and 36 is 12.

Conclusion

The highest common factor (HCF) of 24 and 36 is 12. This can be found by listing the factors of each number and looking for the greatest number that is common to both numbers. The prime factorization method is another way to find the HCF. It involves finding the prime factors of each number and looking for the greatest number that is common to both numbers.

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