The HCF of 36 and 48 is 12. The listing common factors, long division, and prime factorisation are the three most important methods for calculating the HCF of 36 and 48. The greatest possible number that divides 36 and 48 perfectly without any remainder is the HCF of 36 and 48. The factors of 36 and 48 are 1, 2, 3, 4, 6, 8, 12, 16, and 24 and 1, 2, 3, 4, 6, 9, 12, 18, 36, respectively.
Also read: Highest common factor
What is the HCF of 36 and 48?
The answer to this question is 12. This article shows the HCF of 36 and 48 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 36 and 48?
There are three methods to find the HCF of 36 and 48:
- Prime Factorisation
- Long Division method
- Listing common factors
HCF of 36 and 48 by Prime Factorisation Method
The prime factorisation of 36 and 48 is given by:
Prime factorisation of 36 = (2 × 2 × 3 × 3)
Prime factorisation of 48 = (2 × 2 × 2 × 2 × 3)
Hence, the HCF of 36 and 48 is 2 × 2 × 3 = 12.
HCF (36, 48) = 12
HCF of 36 and 48 by Long Division Method
The divisor that we receive when the remainder becomes 0 after executing long division repeatedly is HCF of 36 and 48.
No further division can be done.
Hence, HCF (36, 48) = 12
HCF of 36 and 48 by Listing the Factors
To calculate the HCF of 36 and 48 by listing out the common factors, list the factors as shown below:
Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36.
Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48.
There are 6 common factors of 36 and 48, i.e. 1, 2, 3, 4, 6 and 12. Therefore, the highest common factor of 36 and 48 is 12.
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HCF of 36 and 48 Solved Example
The product of two numbers is 1728. If their HCF is 12, what is their LCM?
Solution:
Given: HCF = 12 and product of numbers = 1728
LCM × HCF = product of numbers
⇒ LCM = Product/HCF = 1728/12
Therefore, the LCM is 144.
Frequently Asked Questions on HCF of 36 and 48
What is the HCF of 36 and 48?
How to find the HCF of 36 and 48 by Long Division Method?
How to find the HCF of 36 and 48 by prime factorisation?
⇒ Since 2, 2, 3 are common numbers in the prime factorisation of 36 and 48, HCF(36, 48) = 2 × 2 × 3 = 12
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