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Find the highest common factor of $$60 and $$18​00.

Question

Find the highest common factor of 60 and 18​00.

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Solution

Sure, here are the steps to find the highest common factor (HCF) of 60 and 1800:

Step 1: Prime factorization of the numbers

  • Prime factorization of 60 = 2^2 * 3 * 5
  • Prime factorization of 1800 = 2^3 * 3^2 * 5^2

Step 2: Identify the common factors The common factors are 2, 3, and 5.

Step 3: Choose the lowest power of each common factor

  • The lowest power of 2 is 2^2.
  • The lowest power of 3 is 3.
  • The lowest power of 5 is 5.

Step 4: Multiply these common factors HCF = 2^2 * 3 * 5 = 60

So, the highest common factor of 60 and 1800 is 60.

This problem has been solved

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