Question
Find Greatest Common Divisor of 22500, 33600 and 26064, using prime factorization.
Answer
The GCD of given numbers is 12.
Explanation
Step 1 : Find prime factorization of each number.
(view steps on how to factor 22500, 33600 and 26064. )
Step 2 : Put a box around factors that are common for all numbers:
Step 3 : Multiply the boxed numbers together:
This solution can be visualized using a Venn diagram.
0,0
22500
33600
26064
2
2
3
5
5
3
2
2
5
5
2
2
7
181
The GCD equals the product of the numbers at the intersection.
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