Find the HCF of 360 and 18144 by Prime Factorization

HCF of 360 and 18144 by Prime Factorization

The factors of any given number or numbers that are restricted to prime numbers are called Prime Factorization. In other words, Prime factorization of a number is said to be done when its factors are written as the product of prime factors. 

Example – Prime Factorization of 30 can be written as 2 × 3 × 5.

Prime Factorization of 90 can be written as 2 × 3 × 3 × 5.

Prime numbers are all numbers other than one that have only the factors 1 and the number itself as factors. The numbers that have exactly two factors 1 and the number itself are 2, 3, 5, 7, 11, 13, 17, etc. It is important to know that 1 is neither prime nor composite.

Summary:

Find the HCF of 360 and 18144 by Prime Factorization.

HCF of 360 and 18144 by Prime Factorization is 72. Prime Factorization is an easy method to find the HCF of any given number. The highest (or greatest) common factor between two or more given numbers is known as the Highest Common Factor (HCF).

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