The HCF of 20 and 35 is 5. The listing common factors, prime factorisation, and long division are the three most frequent methods for calculating the HCF of 20 and 35. The greatest number that divides 20 and 35 perfectly without leaving a leftover is called the HCF of 20 and 35. The factors of 20 and 35 are, 1, 2, 4, 5, 10, 20 and 1, 5, 7, 35, respectively.
Also read: Highest common factor
What is the HCF of 20 and 35?
The answer to this question is 5. This article shows how to calculate the HCF of 20 and 35 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 20 and 35?
There are three methods to find the HCF of 20 and 35:
- Prime Factorisation
- Long Division method
- Listing common factors
HCF of 20 and 35 by Prime Factorisation Method
The prime factorisation of 20 and 35 is given by:
Prime factorisation of 20 = (2 × 2 × 5)
Prime factorisation of 35 = (5 × 7)
The only common prime factor of 20 and 35 is 5.
Hence, the HCF of 20 and 35 is 5.
HCF (20, 35) = 5
HCF of 20 and 35 by Long Division Method
The divisor that we receive when the remainder becomes 0 after executing long division repeatedly is HCF of 20 and 35.
No further division can be done.
Hence, HCF (20, 35) = 5
HCF of 20 and 35 by Listing Common Factors
To calculate the HCF of 20 and 35 by listing out the common factors, list the factors as shown below:
Factors of 20: 1, 2, 4, 5, 10, 20
Factors of 35: 1, 5, 7, 35
There are 2 common factors of 20 and 35, and they are 1 and 5. Therefore, the highest common factor of 20 and 35 is 5.
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Video Lesson on Properties of HCF and LCM
HCF of 20 and 35 Solved Example
Find the highest number that divides 20 and 35 exactly.
Solution:
The highest number that divides 20 and 35 exactly is their highest common factor, i.e. HCF of 20 and 35.
⇒ Factors of 20 and 35:
Factors of 20 = 1, 2, 4, 5, 10, 20
Factors of 35 = 1, 5, 7, 35
The HCF of 20 and 35 is 5.
Therefore, the highest number that divides 20 and 35 exactly is 5.
Frequently Asked Questions on HCF of 20 and 35
What is the HCF of 20 and 35?
If the HCF of 35 and 20 is 5, find its LCM.
Since the HCF of 35 and 20 = 5
⇒ 5 × LCM(35, 20) = 700
Therefore, LCM = 140
What is the relation between LCM and HCF of 20, 35?
How to find the HCF of 20 and 35 by long division method?
What are the methods to find HCF of 20 and 35?
By Long Division
By Listing Common Factors
By Prime Factorisation
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