The HCF of 3240 and 3600 is 360. The greatest possible number that divides 3240 and 3600 perfectly without any remainder is the HCF of 3240 and 3600. (1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 27, 30, 36, 40, 45, 54, 60, 72, 81, 90, 108, 120, 135, 162, 180, 216, 270, 324, 360, 405, 540, 648, 810, 1080, 1620, 3240) and (1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 25, 30, 36, 40, 45, 48, 50, 60, 72, 75, 80, 90, 100, 120, 144, 150, 180, 200, 225, 240, 300, 360, 400, 450, 600, 720, 900, 1200, 1800, 3600) are the factors of 3240 and 3600, respectively. The listing common factors, prime factorisation, and long division are the three most frequent methods for calculating the HCF of 3240 and 3600.
Also read: Highest common factor
What is the HCF of 3240 and 3600?
The answer to this question is 360. This article shows the HCF of 3240 and 3600 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 3240 and 3600?
There are three methods to find the HCF of 3240 and 3600:
- Prime Factorisation
- Long Division method
- Listing common factors
HCF of 3240 and 3600 by Prime Factorisation Method
The prime factorisation of 3240 and 3600 is given by:
Prime factorisation of 3240 = (2 × 2 × 2 × 3 × 3 × 3 × 3 × 5)
Prime factorisation of 3600 = (2 × 2 × 2 × 2 × 3 × 3 × 5 × 5)
Hence, the HCF of 3240 and 3600 is 360.
HCF (3240, 3600) = 2 × 2 × 2 × 3 × 3 × 5 = 360
HCF of 3240 and 3600 by Long Division Method
The divisor that we receive when the remainder becomes 0 after executing long division repeatedly is HCF of 3240 and 3600.
No further division can be done.
HCF (3240, 3600) = 360
HCF of 3240 and 3600 by Listing the Factors
To calculate the HCF of 3240 and 3600 by listing out the common factors, list the factors as shown below:
Factors of 3240: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 27, 30, 36, 40, 45, 54, 60, 72, 81, 90, 108, 120, 135, 162, 180, 216, 270, 324, 360, 405, 540, 648, 810, 1080, 1620 and 3240.
Factors of 3600: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 25, 30, 36, 40, 45, 48, 50, 60, 72, 75, 80, 90, 100, 120, 144, 150, 180, 200, 225, 240, 300, 360, 400, 450, 600, 720, 900, 1200, 1800 and 3600.
Therefore, the Highest Common Factor of 3240 and 3600 is 360.
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HCF of 3240 and 3600 Solved Example
Find the highest number that divides 3240 and 3600 completely.
Solution:
The highest number that divides 3240 and 3600 exactly is their highest common factor.
Factors of 3240: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 27, 30, 36, 40, 45, 54, 60, 72, 81, 90, 108, 120, 135, 162, 180, 216, 270, 324, 360, 405, 540, 648, 810, 1080, 1620 and 3240.
Factors of 3600: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 25, 30, 36, 40, 45, 48, 50, 60, 72, 75, 80, 90, 100, 120, 144, 150, 180, 200, 225, 240, 300, 360, 400, 450, 600, 720, 900, 1200, 1800 and 3600.
Therefore, the Highest Common Factor of 3240 and 3600 is 360.
The highest number that divides 3240 and 3600 is 360.
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