Find the highest common factor of $$60 and $$1800.
Question
Find the highest common factor of 60 and 1800.
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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.
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