Question
Find Greatest Common Divisor of 23, 31, 23 and 17, using prime factorization.
Answer
The GCD of given numbers is 1.
Explanation
Step 1 : Find prime factorization of each number.
(view steps on how to factor 23, 31, 23 and 17. )
Step 2 : Put a box around factors that are common for all numbers:
Note that in this example numbers do not have any common factors.
Step 3 : Multiply the boxed numbers together:
Since there is no boxed numbers we conclude that .
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