Find the highest common factor of $$2079 and $$162.
Question
Find the highest common factor of 2079 and 162.
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Solution
Sure, here are the steps to find the highest common factor (HCF) of 2079 and 162:
Step 1: Write down the prime factors of each number.
- The prime factors of 2079 are: 3, 3, 3, 7, 11.
- The prime factors of 162 are: 2, 3, 3, 3, 3.
Step 2: Identify the common prime factors.
- The common prime factors are: 3, 3, 3.
Step 3: Multiply the common prime factors together to find the HCF.
- The HCF is: 3 * 3 * 3 = 27.
So, the highest common factor of 2079 and 162 is 27.
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