Question
Find Greatest Common Divisor of 40 and 125, using prime factorization.
Answer
The GCD of given numbers is 5.
Explanation
Step 1 : Find prime factorization of each number.
(view steps on how to factor 40 and 125. )
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
40
125
5
2
2
2
5
5
The GCD equals the product of the numbers at the intersection.
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