The HCF of 2472 and 1284 is 12. HCF is the greatest integer that can divide 2472 and 1284 evenly, and that number is 12. HCF stands for Highest Common Factor. It is also known as GCF (Greatest Common Factor) or GCD (Greatest Common Divisor). For a given set of numbers, there would be multiple common factors, and the highest among the common factors is known as the HCF. For 2472 and 1284, the common factors are 1, 2, 3, 4, 6 and 12. Since 12 is greater than others, HCF for 2472 and 1284 is 12. You can refer to HCF and LCM to understand better.
What is the HCF of 2472 and 1284?
The Highest Common Factor, also known as the Greatest Common Factor of 2472 and 1284, is 12.
How to Find HCF of 2472 and 1284?
There are three methods to find the HCF of 2472 and 1284:
- Prime Factorisation
- Long Division method
- Listing common factors
HCF of 2472 and 1284 by Prime Factorisation Method
In the prime factorisation method, the numbers can be expressed as the product of prime numbers. Here, 2472 and 1284 can be expressed as:
2472 = 2 × 2 × 2 × 3 × 103
1284 = 2 × 2 × 3 × 107
The common prime factor is 12.
Therefore, HCF (2472, 1284) = 12
HCF of 2472 and 1284 by Long Division Method
In the long division method, the following steps are followed.
- From the given set of numbers, the smallest number becomes the divisor, and the larger number becomes the dividend.
- In the next step, the smaller number becomes the dividend, and the remainder becomes the divisor.
- The above step is followed until the remainder is zero.
- The last divisor would be the HCF.
The HCF of 2472 and 1284 by long division method is:
Therefore, HCF (2472, 1284) = 12
HCF of 2472 and 1284 by Listing Common Factors
By listing common factors of given numbers, we can identify the Highest/Greatest/Biggest Common Factor, which is the HCF. Below is the list of factors for 2472 and 1284:
Factors of 2472:
1, 2, 3, 4, 6, 8, 12, 24, 103, 206, 309, 412, 618, 824, 1236, 2472
Factors of 1284:
1, 2, 3, 4, 6, 12, 107, 214, 321, 428, 642, 1284
Therefore, HCF (2472, 1284) = 12
Related Articles
Video Lesson on Properties of HCF and LCM
Solved Examples
1. Find the second greatest number that divides 2472 and 1284 evenly.
Solution: The second greatest number that divides both 2472 and 1284 evenly is nothing but the second Greatest Common Factor, which is 6.
2. What is the GCF of 2472 and 24720?
Solution: The GCF of 2472 and 24720 is 2472.
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