The HCF of 12, 16 and 28 is 4. The greatest number that divides 12, 16, and 28 exactly, leaving no leftover, is the HCF of 12, 16, and 28. (1, 2, 3, 4, 6, 12), (1, 2, 4, 8, 16), and (1, 2, 4, 7, 14), respectively, are the factors of 12, 16, and 28. Prime factorization, the listing of common factors, and long division are the three most often used techniques for determining the HCF of 12, 16, and 28.
Also read: Highest common factor
What is the HCF of 12, 16 and 28?
The answer to this question is 4. This article shows how to find the HCF of 12, 16 and 28 using various methods for your reference. The greatest of all their common factors is the Highest Common Factor (HCF) of two or more numbers.
How to Find HCF of 12, 16 and 28?
There are three methods to find the HCF of 12, 16 and 28:
- Prime Factorisation
- Long Division method
- Listing common factors
HCF of 12, 16 and 28 by Prime Factorisation Method
The prime factorisation of 12, 16 and 28 is given by:
Prime factorisation of 12 = (2 × 2 × 3)
Prime factorisation of 16 = (2 × 2 × 2 × 2)
Prime factorisation of 28 = (2 × 2 × 7)
Hence, the HCF of 12, 16 and 28 is 4.
HCF (12, 16, 28) = 4
HCF of 12, 16 and 28 by Long Division Method
The divisor that we receive when the remainder becomes 0 after executing long division repeatedly is the HCF of 12, 16 and 28.
No further division can be done.
Hence, HCF (12, 16, 28) = 4
HCF of 12, 16 and 28 by Listing Common Factors
To calculate the HCF of 12, 16 and 28 by listing out the common factors, list the factors as shown below:
Factors of 12 = 1, 2, 3, 4, 6, 12
Factors of 16 = 1, 2, 4, 8, 16
Factors of 28 = 1, 2, 4, 7, 14, 28
The Highest Common Factor of 12, 16, and 28 is 4.
The highest number that divides 12, 16, and 28 is 4.
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HCF of 12, 16 and 28 Solved Example
Question: Find the highest number that divides 12, 16, and 28 completely.
Solution:
The highest number that divides 12, 16, and 28 exactly is their highest common factor.
Factors of 12 = 1, 2, 3, 4, 6, 12
Factors of 16 = 1, 2, 4, 8, 16
Factors of 28 = 1, 2, 4, 7, 14, 28
The Highest Common Factor of 12, 16, and 28 is 4.
The highest number that divides 12, 16, and 28 is 4.
Frequently Asked Questions on HCF of 12, 16 and 28
What is the HCF of 12, 16 and 28?
How to find the HCF of 12, 16 and 28 by prime factorisation?
⇒ Since 2, 2 are common terms in the prime factorisation of 12, 16 and 28. Hence, HCF(12, 16, 28) = 2 × 2 = 4
What are the methods to find HCF of 12, 16 and 28?
By Long Division
By Listing Common Factors
By Prime Factorisation
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