Question
Find Greatest Common Divisor of 1124788752 and 1118788812, using prime factorization.
Answer
The GCD of given numbers is 399996.
Explanation
Step 1 : Find prime factorization of each number.
(view steps on how to factor 1124788752 and 1118788812. )
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
1124788752
1118788812
2
2
3
3
41
271
2
2
19
37
2797
The GCD equals the product of the numbers at the intersection.
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