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7 is a Prime number. Its only factors are 1 and 7. Since 1 is a perfect square, it is the answer to the question.
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25. The prime factorisation of 350 is: 2 x 52 x 7 The prime factorisation of a perfect square has an even power of every prime. From the prime factorisation of 350, the highest possible square is 20 x 52 x 70 = 25.
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Yes, 49 is a perfect square. The square root of 49 is 7. 7 x 7 = 49
The greatest common factor must be a factor of the smallest number. The smallest number is 7. Its factors are 1 and 7. So the greatest common factor must be either 1 or 7. Since 7 is the larger of the two factors, check whether it is a factor of the additional numbers. Since it is, 7 is the greatest common factor.
The GCF is 7.