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What is the greatest common divisor of 24 and 36? A 2 B 4 C 6 D 8 E 12

Question

What is the greatest common divisor of 24 and 36? A 2 B 4 C 6 D 8 E 12

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Solution

The greatest common divisor (GCD) of two numbers is the largest number that divides both of them without leaving a remainder.

Here are the steps to find the GCD of 24 and 36:

  1. List the prime factors of each number:

    • The prime factors of 24 are 2, 2, 2, 3 (222*3 = 24)
    • The prime factors of 36 are 2, 2, 3, 3 (223*3 = 36)
  2. Identify the common factors:

    • The common factors are 2, 2, 3 (223 = 12)
  3. Multiply the common factors together to find the GCD:

    • 223 = 12

So, the greatest common divisor of 24 and 36 is 12 (E).

This problem has been solved

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