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
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:
-
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.
-
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).
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