alleryWhat is the highest number that divides both 48 and 180?
A6
B12
C18
D24
Answer & Solution
Correct answer: B. 12
1. 48 = 2⁴ x 3 and 180 = 2² x 3² x 5.
2. Take the lowest power of each shared prime: 2² x 3 = 12.
3. 6 is a common divisor but not the greatest; 18 and 24 do not divide both.
_Source: Wikipedia, Greatest common divisor, section Using prime factorizations_
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