What is the greatest common divisor (GCD) of 24 and 18?

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Solution

The correct option is B 6
Step 1: Find the prime factorization of 24 and 18 with the help of ladder method:
Step 2: List the prime factors from the ladder method
Prime factors of 24 = 2 × 2 × 2 × 3
Prime factors of 18 = 2 × 3 × 3

Step 3: Then find the biggest common factor number.
2 and 3 are the common prime factors of 24 and 18
$∴$ GCD of 24 and 18 is 2 × 3 = 6

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