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Best Answer
Expressing each number as a product of prime numbers can help a lot.
Prime factorization of 36 = 2x2x3x3......(1)
Prime factorization of 15 = 3x5......(2)
From 1 and 2 it is clear that 3 is the only number which divides both 36 and 15.
So, greatest common factor = 3.
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