The values of A, B and C are 36, 7 and 3, respectively.
In this problem we have the addition of two positive integers that are divisible to 2. First, we proceed to decompose each element of the addition as a product of prime numbers:
252 = 2² × 3² × 7
108 = 2² × 3³
The greatest common factor is the greatest integer that can be removed from the addition by distributive property. Then, the greatest common factor is 2² × 3² = 36 and finally:
(2² × 3²) · (7 + 3)
36 · (7 + 3)
The values of A, B and C are 36, 7 and 3, respectively.
To learn more on factor decomposition: https://brainly.com/question/11698164
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