Find the highest common factor of (34, 85)
Question
Find the highest common factor of (34, 85)
Solution 1
Sure, here are the steps to find the highest common factor (HCF) of 34 and 85:
Step 1: Write down the prime factors of each number.
- The prime factors of 34 are 2 and 17.
- The prime factors of 85 are 5 and 17.
Step 2: Identify the common prime factors.
- The common prime factor is 17.
Step 3: The highest common factor is the product of all the common prime factors.
- Since 17 is the only common prime factor, the HCF of 34 and 85 is 17.
Solution 2
Sure, here are the steps to find the highest common factor (HCF) of 34 and 85:
Step 1: Write down the prime factors of each number.
- The prime factors of 34 are 2 and 17.
- The prime factors of 85 are 5 and 17.
Step 2: Identify the common prime factors.
- The common prime factor is 17.
Step 3: The highest common factor is the product of all the common prime factors.
- In this case, the highest common factor is 17, because 17 is the only common prime factor.
So, the highest common factor (HCF) of 34 and 85 is 17.
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