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What is the greatest common divisor of 28 and 39? A 1 B 2 C 3 D 4 E 6 F 7 G 9 H 13 I 14 J 28 K 39 L 1092

Question

What is the greatest common divisor of 28 and 39? A 1 B 2 C 3 D 4 E 6 F 7 G 9 H 13 I 14 J 28 K 39 L 1092

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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 28 and 39:

  1. List the prime factors of each number:

    • The prime factors of 28 are 2, 2, and 7.
    • The prime factors of 39 are 3 and 13.
  2. Identify the common factors:

    • The numbers 28 and 39 do not have any common prime factors.

Therefore, the greatest common divisor of 28 and 39 is 1 (A).

This problem has been solved

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