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Question
Find Greatest Common Divisor of 38661640 and 333290000, using prime factorization.
Answer
The GCD of given numbers is 1333160.
Explanation
Step 1 : Find prime factorization of each number.
38661640=333290000=2⋅2⋅2⋅5⋅29⋅333292⋅2⋅2⋅2⋅5⋅5⋅5⋅5⋅33329(view steps on how to factor 38661640 and 333290000. )
Step 2 : Put a box around factors that are common for all numbers:
38661640=333290000=2⋅2⋅2⋅5⋅29⋅333292⋅2⋅2⋅2⋅5⋅5⋅5⋅5⋅33329Step 3 : Multiply the boxed numbers together:
GCD=2⋅2⋅2⋅5⋅33329=1333160
This solution can be visualized using a Venn diagram.
0,0
38661640
333290000
2
2
2
5
33329
29
2
5
5
5
The GCD equals the product of the numbers at the intersection.
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